A cone has a height of 6 yards and a radius of 3 yards. What is its volume? Use 3.14 and round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

V = 56.52

Step-by-step explanation:

Formiula

V = (1/3) * pi * r^2 * h

Givens

pi = 3.14

r = 3 yard

h = 6 yards

Solution

V = (1/3) * 3.14 * 3^2 * 6          Multiply 1/3 * 6

V = 2 * 3.14 * 9

V = 56.52


Related Questions

prove that y=2x^2-6x+7 and y=x^2-2x+3 touch each other and find the point of contact

Answers

Answer:

See below ~

Step-by-step explanation:

We need to prove they are equal.

Equate the values to each other.

2x² - 6x + 7 = x² - 2x + 3x² - 4x + 4 = 0(x - 2)² = 0x = 2

Now input the x-value in the 1st equation.

y = 2(2)² - 6(2) + 7y = 8 - 12 + 7y = -4 + 7y = 3

Now input the same in the 2nd equation.

y = (2)² - 2(2) + 3y = 4 - 4 + 3y = 3

Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.

Point of Contact

(x, y)(2, 3)

1
2
3
4
5
6
7
8
9
10
Which equation can be used to find the unknown length, b, in this triangle?
5 in.
4 in
=
O 42+ b2 = 52
O 42-62 = 52
O 52 +42 – 52

Answers

Answer:

this question isn't quite clear, is the diagram of the triangle necessary for me to answer this question ?

Step-by-step explanation:

but by simple analysis,

since the "unknown" is b

option (a) which is 42 + b2 = 52 is the best equation.

because we are looking for the value of "b", therefore there should be letter "b" in equation we're going to use. hope you understand...

Hope this helps .

Karen is using a number line to represent the doors in the school hallway. She labels 0. 25, 0. 5, and 0. 75 on the number line as a scale reference. Where should Karen place a mark to represent a door that is 0. 7 from the start of the hallway? Explain. A. 0. 7 is less than 0. 75, so it is a little to the left of 0. 75. B. 0. 7 is less than 0. 75, so it is a little to the right of 0. 75. C. 0. 7 is greater than 0. 75, so it is a little to the right of 0. 75. D. 0. 7 is greater than 0. 75, so it is a little to the left of 0. 75

Answers

Answer:

A

Step-by-step explanation:

What is the area of the figure below?

Answers

Answer:

B. 33cm^2

Step-by-step explanation:

To calculate the area of a figure, you'll need to multiply the base times the height.

So, you calculate the area of the two figures and you add them up.

(4x2) + (5x5) = 33cm^2

Answer:

The answer is B. 33 cm^2

Step-by-step explanation:

Area Formula of Square/Rectangle: Area = Length * Width

Left Box:

Area = Length * Width

Area = 4 cm * 2 cm = 8 cm^2

Right Box:

Area = Length * Width

Area = 5 cm * 5 cm = 25 cm^2

Total Area = 8 cm^2 + 25 cm^2 = 33 cm^2

hich is the joint relative frequency for the people who can only see the sunset?

StartFraction 5 Over 38 EndFraction
StartFraction 7 Over 38 EndFraction
StartFraction 12 Over 38 EndFraction
StartFraction 14 Over 38 EndFraction

Answers

Answer:

12/38

Step-by-step explanation:

Answer:

12/38

Step-by-step explanation:

7( x + 3 ) ≤ 4x − 5

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-26/3

Step-by-step explanation:

We open the bracket to get 7x +21 ≤ 4x -5

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

What type of triangle is created by the three cities?

an acute triangle, because 222 + 542 >512
an acute triangle, because 222 + 512 >542
an obtuse triangle, because 222 + 542 >512
an obtuse triangle, because 222 + 512 >542

Answers

Answer:

54 is the hypotenuse due to being the longer side(s).
54 ^2=2916 / 51^2=2601 / 22^2=484 = 2916=2601+484 // 22^2+51^2>54^2

Option B.

Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.




Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.




\frac{20}{29}
29
20



\frac{21}{29}
29
21



\frac{21}{20}
20
21



\frac{29}{21}
21
29

Answers

Answer:

21/29

Step-by-step explanation:

Sin = hypotenuse side / opposite side to the angle

then: Sin (C) = 21 / 29

The daily number of miles driven by a bus driver during a week are 50, 65, 78, 54, 53, 61, 79, and 78.

Which statement is true?



Both the mean and mode are appropriate measures of center.

Both the median and mode are appropriate measures of center.

Both the mean and median are appropriate measures of center.

The mode is the only appropriate measure of center.

Answers

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation:

The population of New York City is about 8.4 × 10^6. What is 1/4of the population?
A. 2.1 x 105
B. 2.1 x 106
C. 4.2 x 105
D. 4.2 x 106

Answers

Answer:

2.1 x 10^6

Step-by-step explanation:

8.4 x 10^6 / 4 = 2.1 x 10^6

If x+3/3=y+2/2, then x/3=___

Answers

Answer:

y/2

Step-by-step explanation:

(x+3)/3 = (y+2)/2

x/3 + 1 = (y+2)/2

x/3 = (y+2)/2 - 1

= (y+2-2)/2

= y/2

Kyle baked 20 cookies. If
1
4
of the cookies are chocolate chip, how many chocolate chip cookies did he bake?

Answers

Answer:

5

1/4 of 20 is 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

20x1/4 or 20÷4=5

HELPP?!!!
A supermarket is holding a raffle for a new wrist watch. Out of the 500 tickets sold, David buys tickets numbered 5, 6, 7, and 8. What are the odds in favor of David's winning the raffle?

Answers

Answer:

1/125

Step-by-step explanation:

He buys 4 tickets out of 500:

4/500 = 2/250 = 1/125

5 positive integers are arranged in ascending order, as follows: 7 , 8 , 8 , 10 , x The median and the range are equal. Find x .

Answers

Answer:

6.6, 7, 8, 8, 10

Step-by-step explanation:

7+8+8+10+X = 33/5

= 6.6

X= 6.6

Matching equations with diagrams & finding unknown angles #3
Which equation(s) and angle measurements go with the
diagram. Choose ALL that apply.
Find the value of a.
(Select all that apply.)

please help

Answers

Answer: a+51=90, a+51+90=180, 39

Step-by-step explanation:

a+51=90 works because the angles add to form a right angle.

a+51=180 does not work because the angles add to form a right angle, not a straight angle.

a+51+90=180 works because all those angles add to form a straight angle.

a+90=180 does not work because the unknown in this situation refers to a+51, not just a.

Solving the equation, we get a=39, so 39 is also an answer.

Derek is conducting a survey in his school about extracurricular activities. Choose three things he should do to get a representative sample and check that it is representative. CLEAR CHECK Derek should ask people what grade they are in. Derek should randomly choose people only in his grade. Derek should ask people their age. Derek should ask people what their favorite color is. Derek should survey everyone in the school. Derek should offer the survey in multiple languages. NEXT CLOSE Reference calculator formulas glossary CLOSE Language Changes the language of the audio snippets and the glossary ENGLISH

Answers

Yh I got one wrong but it's a little light green :) Hope this helps!

How many times greater is 8.4 x 109 than 1.5 × 10²?

Answers

Answer:

900.6 times greater!

Step-by-step explanation:

8.4 x 109 = 915.6

10 by the power of 2 is 100 so;

1.5 x 100 = 15

915.6 > 15

915.6 - 15 = 900.6

write an equation that gives the proportional relationship of the graph.
A. y=1/4x
B. y=3x
C. y=4x
D. y=12x

Answers

Answer:

y=3x+4

Step-by-step explanation:

This is one equation.

5x^(-2)-17x^(-1)+6
for the love of god help please

Answers

Answer:

Pfffttttt- Amateurs, it is quite simple really. Take a nice long look. In the picture is he answer. And I was just joking around, even I had to use a calculator for the answer.

Step-by-step explanation:

Put the x's together, the negatives and the positives.

which equation is true for y?

Answers

ANSWER: D

REASON:
4(y x y) = 4(y^2) = 4y^2

Hope that helps!

What is the greatest common factor of 13x and 14x^3?

Answers

Answer:

x

Step-by-step explanation:

13 and 14 share no factors except for 1Both have x in them, so the answer is x

Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)

Answers

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

Are the two cones congruent? explain and include details to support your claim.

Answers

The two cones are not congruent because one of the cones is oblique in nature.

What are congruent shapes?

Congruent shapes are identical in size and shape. To put it another way, if you hold an object or element in a mirror, the picture you get is congruent to the object.

However, two figures may seem to be identical, but one side or angle in one figure may deviate significantly from the other. The easiest technique to assess sides and angles to check if they are equivalent or congruent is to use markings on figures.

When we apply that technique to the two figures, we realized that the two cones are not congruent because one of the cones is oblique in nature, this resulted in a difference in the slant height of the cones.

Learn more about congruent figures here:

https://brainly.com/question/25837892

solve for x
x over 7 = 6

Answers

Answer:

X = 42

Step-by-step explanation:

What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.

42 / 7 = 6

DING DING DING Correct !

Answer:

X = 42

Step-by-step explanation:

Think of this problem as a division problem.

? ÷ 7 = 6

So solve this multiply 7 by 6.

This would leave you with 42.

Therefore 42/7 = 6

Easy Peasy :) Hope this helped! <3

The possible hours of daylight in a given day is a function of the day of the year . In Poughkeepsie , New York , the minimum hours of daylight ( occurring on the Winter solstice ) is equal to 9 hours and the maximum hours of daylight ( occurring on the Summer solstice ) is equal to 15 hours If the hours of daylight can be modeled using a sinusoidal equation what is the equation's ampltitude ?

Answers

Considering a sinusoidal equation, and the concept of amplitude, if it found that the equation's amplitude is of 3 hours.

What is the amplitude of a sinusoidal equation?

It is given by half the difference between the greatest and the smallest value.

In this problem:

The greatest value is of 15 hours.The smallest value is of 9 hours.

0.5 x (15 - 9) = 3.

Hence, the equation's amplitude is of 3 hours.

More can be learned about sinusoidal equations at https://brainly.com/question/16818112

#SPJ1

{32,33,34,34,36,38,38,38,40,42} what is the mean of the data set?

Answers

Answer:

add up all the numbers and multiply it by 32

Step-by-step explanation:

add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32

Find the original price of a salt lamp that is $45 after a 70% discount.

Answers

$45 = 0.7 (70% as a decimal)
So 0.1= $6.43
Therefore 1 (100%) = $64.29

Answer:

$150.00

Step-by-step explanation:

original price = sale price/1-discount

OP=45/1-0.7

OP=45/0.3

OP=150

hard question help me

Answers

Here you divide the number from denominator to numerator. Example 3/3=1, 8/2=4 in denominator and 1 in numerator since 2/2=1

can you help me i kinda in a hurry please

Answers

Answer:

x   y

2   1

4   2

6   3

Step-by-step explanation:

For each x-value, y is half of it.

Divide each x-coordinate by 2 to find the corresponding y-coordinate.

x   y

2   1

4   2

6   3

Step-by-step explanation:

Since y=1/2(x)

x y

2 1

4 2

6 3

Fill in this order

I hope it helped you

Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get their 3/5 cup of juice

Answers

Answer: 158

Step-by-step explanation:

Okay so the total is 9 5/10.

Each party goer needs 6/10

So 95/10 / 6/0=. 95/10x10/6

=950/6 = 158.

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