A cube of side 14 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid? ​

Answers

Answer 1

Answer:

Greatest diameter of hemisphere = 14 cm

Surface area of solid = 1330 cm²

Step-by-step explanation:

Side of the cube (a) = 14 cm

If a cube is surmounted (placed right over its top) by a hemisphere, then that means that the greatest diameter of the hemisphere will be equal to the measure of the edge of the cube (a cube has equal sides). Hence,  the greatest diameter of the hemisphere is 14 cm & the radius (r) will be 14/2  = 7 cm (radius = ½ diameter)

Now, we need to find the surface area of the solid.

Here, the solid comprises of a cube & a hemisphere sharing a same circular base area. Hence,

Surface area of the solid

= Surface area of cube + Curved surface of hemisphere - Circular base area

= 6a² + 2πr² - πr²

= 6a² + πr²

= 6(14)² + 22/7×(7)²        [π = 22/7]

= 1176 + 154

= 1330 cm²

[tex]\rule{150pt}{2pt}[/tex]

NOTE:

Refer to the attached picture to see how a hemisphere is surmounted on top of a cube.

[tex]\rule{150pt}{2pt}[/tex]

A Cube Of Side 14 Cm Is Surmounted By A Hemisphere. What Is The Greatest Diameter The Hemisphere Can
Answer 2

Please find attached herewith the solution of your question.

If you have any doubt, feel free to ask.

A Cube Of Side 14 Cm Is Surmounted By A Hemisphere. What Is The Greatest Diameter The Hemisphere Can

Related Questions

a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.

Answers

Answer:

It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.

Step-by-step explanation:

X-3/18=12/9 solve for x

Answers

Answer:

X= 3/2

Step-by-step explanation:

hope this helps

Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)

Answers

Answer:

a

Step-by-step explanation:

(3/5)^3= 27/125

So a is the correct answer

Answer:

Answer option D.

I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.

If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.

Numerator:

3 cubed(3^3) would result in

= 9

Denominator:

5 cubed(5^3) would result in

= 125

Hence, you'll get 9/125.

So your answer is;

A, (3/5)'3

helppppppppppppppppp meee​

Answers

Answer:

Given

Step-by-step explanation:

As I can see, in the question the statement is already given.

If m∠2 = 80°, what is m∠4?

Answers

Answer:

80 degrees

Step-by-step explanation:

they are vertical pirs (across from each other) so they have the same measure

please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Nate - I can't fold my invitation at all. The parts won't match.

Hector - I can fold my invitation more than one way.

Daniel - I can fold my invitation along only a horizontal line.

Micheal - I can fold my invitation along only a vertical line.

I need help with this problem if anyone wants to help me please do

Answers

Answer:

11

Step-by-step explanation:

hope this helps loves x

4 divide44 is11
That’s a right answer

30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6

Answer choices:
42, 24, 4, 16

Answers

Answer: 16

Step-by-step explanation:

so if yo have 1 hundred and 2 tens +n +1 hundred 4 tens

Answers

Answer:

260+n

Step-by-step explanation:

1hundred and 2 tens +n +1 hundred 4 tens

=120+n+140

=260+n

The probability of an event is P(A) = 0.05 What is the complement of P(A)?

Answers

Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95

What is probability?

Probability is the likelihood or chance that an event will occur. Mathematically:

Probability = expected outcome/total outcome

Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:

P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95

Hence the complement of the probability will be 0.95

Learn more on probability here: https://brainly.com/question/24756209

8. (8, 6); 5x - 5y = 10
7x - 14y = -28

Answers

Answer:

28

Step-by-step explanation:

because 28 is the last one

How many faces does a solid with 8 vertices and 12 edges have?

8
12
6
22

Answers

Answer:

6

Step-by-step explanation:

Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.

Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0

Answers

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

How to determine the circle equation?

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

https://brainly.com/question/1559324

please help me solve this

Answers

To find the value of x,

will give brainlist I'm not going to waste my time in this multiple question

Answers

Answer:

What's the question?

Step-by-step explanation:

You haven't shown me a question.

Answer:

The answer is A.[tex]98\beta \pi[/tex]

Step-by-step explanation:

Take the transactions of the polynomials and apply the quadratic formula.

Evaluate.
3^2 + 12 ÷ (6 - 3) x 8

Answers

Answer:

38 is your answer :)

Step-by-step explanation:

So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*

3^2+12/ (6-3) x 8

6-3 = 3

3^2+12/(3)*8

3^2+4*8

6+4*8 =32 and 32+6 = 38

to solve this, remember the acronym PEMDAS

parenthesis, exponents, multiplication, division, addition, subtraction

start by doing (6-3), which is 3

now the equation is 3^2+12 / 3 x 8

then do 3^2, which is 9

9+12 / 3 x 8

now do 3 x 8, which is 24

9+12 / 24

divide 12 and 24, which is one half

9 + 1/2

add this to get 9.5

hope this helped!!

A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.

Which arrangement of caramels requires the least cardboard?

Answers

Answer:

five by four

Step-by-step explanation:

I took picture off it

Answers

Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

PLEASE HELP!!!!I’LL GIVE BRAINLIEST!

find the supplementary angle to an angle
that is 128.9º. explain your answer

Answers

First to know what a supplementary angle is as an angle that is 180 degrees.

Explanation:
To find the missing number you would take what the angle add up to (180) and subtract it by the given number(128.9). In this case your answer would be 51.1 degrees.

URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?

Equation 1: 3x+2y=9

Equation 2: -x+3y=8

A) -3x+3y=8

B) -3x-9y=24

C) 3x+9y=24

D) 3x-9y=-24

Answers

i’m pretty sure it’s 3xbecause it’s right

Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?

Answers

Answer:

Will's Age : 35

Maria's Age : 15

Step-by-step explanation:

Will is five years more than twice Maria's age.

15 doubled is 30 plus 5 is 35.

In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.

The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth.​

Answers

Answer:

the answer is 18.53.... hope this helps

Step-by-step explanation:

how you find the area of a circle is the radius times pi which pi is 3.14

PLEASE HELP ASAP
Geometry Unit 7 Homework 2
1-20
Right Triangles and Trigonometry
Special Right Triangles

Answers

Answer:

1. [tex]x=13,\,y=13\sqrt{2}[/tex]

2. [tex]x=y=\frac{30\sqrt{2}}{2}[/tex]

3. [tex]x=6,\,y=3\sqrt{3}[/tex]

4. [tex]x=17\sqrt{3},\,y=17[/tex]

5. [tex]x=y=10[/tex]

6. [tex]x=50,\,y=25[/tex]

7. [tex]x=y=2\sqrt{7}\,\,(\mathrm{because}\,\,\frac{2\sqrt{14}}{\sqrt{2}} = \frac{2\sqrt{2}\sqrt{7}}{\sqrt{2}} = 2\sqrt{7} )[/tex]

8. [tex]y = \frac{24\sqrt{3}}{3} = 8\sqrt{3},\,x = 16\sqrt{3}[/tex]

9. [tex]x = 11\sqrt{3},\,y=11\sqrt{3}\cdot\sqrt{3} = 33[/tex]

10. [tex]y = 2\sqrt{6},\,x = \sqrt{6}\cdot\sqrt{3} = 3\sqrt{2}[/tex]

11. [tex]x = \sqrt{10},\,y=\sqrt{10}*\sqrt{2} = 2\sqrt{5}[/tex]

12. [tex]x = \frac{4\sqrt{21}}{\sqrt{3}} = 4\sqrt{7},\,y=8\sqrt{7}[/tex]

13. [tex]x = 17\sqrt{3},\,z = 34,\,y =34\sqrt{2}[/tex]

14. [tex]x = 27\cdot\frac{2}{\sqrt{3}}=18\sqrt{3},\,h=9\sqrt{3},\,z=9,\,y=18[/tex]

Step-by-step explanation:

Please ask for explanation on specific numbers, as doing it all is a lot of writing. From the parially-written aswers I assume you know the rules for 90-45-45 triangles and 90-60-30 triangles, which are the only ones in the task sheet.

How do you calculate scale factor of the sides of figures

Answers

Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.

Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...

Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...

Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer

What is the slope of the line that passes through the points (8, -6) and (-4,-6)? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

→ Find the change in y coordinates

-6 --6 = 0

→ As the change in y is 0, the gradient is 0

Step-by-step explanation:

Here,

(8,-6)=(x1,y1)

(-4,-6)=(x2,y2)

we know, solpe of any line passing throgh (8,-6)&(-4,-6) be

slope(m)=(y2-y1)/(x2-x1)

m={-6-(-6)}/(-4-8)

m=o/-12

m=o

The function f(t)=1900(1. 4)^t

t

represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?

Answers

Answer:

Increasing by 40%

Step-by-step explanation:

This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.

What is the inverse of f(x)=1/3x+2?

Answers

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

If sin p =3/5 and p is an acute angle, what is the value of tan p?

Answers

Answer:

sin x + cos x = 5/13 + 12/13

Step-by-step explanation:

Given that tan x = 5/12, what is the value of sin x + cos x?

draw a triangle with opposite leg=3 and hypotenuse=5

tan p = opposite/adjacent = 3/4

similarly, in a 5-12-13 right triangle

sin x + cos x = 5/13 + 12/13

express 194720 in standard form correct to 3 significant figures

Answers

Answer:

1.95 x 10^5

Step-by-step explanation:

First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.

Hope you can understand this!!

How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!

Answers

Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.

What is the focus of history?

History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.

Why is history important?

History is about both origin and evolution; due to this:

History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.

Learn more about history in: https://brainly.com/question/3583505

#SPJ1

Other Questions
el metano se utiliza en los mecheros What is a magnetic domain? The Great Pacific Garbage Patch looks like a huge island of trash when seen from the air. A. True B. False In 1961, President Kennedy committed the United States to a manned lunar mission by the end of the decade. Few thought it could actually be done, but of course it did, with five months to spare. This story illustrates the __________ growth theory argument that technological change __________. can a transitive verb be in a prep phrase what would be a equivalent expression for 2^1/3 You have a car loan to pay for a car the interest rate is 4.5% annually for 6 years, calculate your monthly payment (retail price = 42,295) Leini is constantly worried about nearly everything in her life. She worries she will perform poorly in school, she worries about her health, and she worries about her family and friends. All of the worry makes it hard for her to focus and concentrate. She could possibly be diagnosed with Eva is showing her work in simplifying (7. 3 7. 2) 3. 8 + 3. 7. In which step did Eva make an error?Step 1: (7. 3 7. 2) 3. 8 + 3. 7Step 2: 7. 3 + (7. 2 3. 8) + 3. 7 (commutative property)Step 3: 7. 3 11 + 3. 7Step 4: 7. 3 + 3. 7 11 (commutative property)Step 5: 11 11 = 0 Malik jogs twice every day in a 7-day week with his friend. In the afternoon, they jog 3/5 as far as they do in the morning. At the end of one week they have jogged a total of 20 4/25 miles. How far do Malik and his friend jog in the afternoon? A janitor cleaning a production facility would be considered: a) direct labor. b) overhead. c) asset. You should follow ALL revision comments you receive, no matter what. A: TRUEB: FALSE 1.1 Calculate the value of L the maximum consumption in category 3 what is the probability of it raining in mexico? I forgot to put this in the question... sorry! A main difference between asteroids and comets is that asteroids are mostly made of rock and comets are mostly made of. Clean Cars Program is. Write a paragraph evaluating the soundness of the authors claims and the evidence used to support it. Cite at least two details from the passage to support your response. what's the estimate of 6.48 + 9.34? Whywere the Greek city-states unpreparedfor an attack byPhilip ll ? Can someone help me, please? I am giving a lot of points!