the volume of a sphere is 4851 cubic cm find its diameter​

Answers

Answer 1

Answer:

The diameter is 21 cm

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter)  V = (4/3)π(d/2)³.  This simplifies to

       4πd³          πd³

V = ----------- = -----------

        3·8               6

Now equate V = (πd³/6) to 4851 cm³.  We must first solve this for d³ and then take the cube root of the result:

πd³ = 4851(6) = 29106.

Dividing this result by π yields 9264.7,

and taking the cube root of this is 21.  The diameter is 21 cm


Related Questions

At a​ school, 133 students play at least one sport. This is 35 ​% of the students at the school. How many students are at the​ school?

Answers

Answer:

380 students

Step-by-step explanation:

133 = 35%

[tex]\frac{133}{35}[/tex] = 1%

3.8 = 1%

3.8 * 100

= 380

380 students because i remember doing that i got that right.

Pls help me ._. I’m failing:)

Answers

Answer:

Step-by-step explanation:

1. add the exponents

Ex: [tex]2^{2}*2^{3} = 2^{5}[/tex]

2. subtract the exponents

Ex: [tex]2^5-2^3 = 2^2[/tex]

Given cos x = 3/5 and 3pi /2 < x < 2 and sin y = ─ square root 2/2,
and < y < 3pi /2; evaluate tan (x ─ y).

Answers

Answer:

Step-by-step explanation:

A store sells watches for $69.99 each and watch batteries for $9.50 each. Justin is buying 2 watches and x number of watch batteries. Which equation can be used to find y, the total price Justin must pay in dollars?

A y = 139.98x + 9.50x

B y = 69.99x + 9.50

C y = 9.50x + 69.99

D y = 9.50x + 139.98​

Answers

Answer:

D. y= 9.50x + 139.98

Step-by-step explanation:

69.99 x 2 = 139,98

which expression is equivalent to the problem shown?

Answers

B
............................

The sum of two numbers is 57 and the difference is 7. What are the numbers?

Answers

Answer:

32 and 25

Step-by-step explanation:

Find x in the following ,giving reasons​

Answers

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

What is the slope of the line?
hurryyyy

Answers

Answer:

slope = 3

Step-by-step explanation:

if each square is equal to 1

The slope has to be 3.

you can see it, because between those 2 point you can count 3 spaces in y-vertex, and 1 space in x-vertex

what that means is that we will move 3 steps up (or down) for each 1 space in x-vertex.

you can see it just right there on the graph

Can someone help me plsssss

Answers

i’m pretty sure it’s 48ft^2 !!

Materials that do not let current flow easily are called insulators. Most nonmetal materials such as plastic, wood and rubber are insulators

Answers

Answer:

and??

Step-by-step explanation:

(Photo attached) Is Tamara's work correct? If not, what is the first step where Tamara made a mistake?

Answers

No photo!!!!!!!!!!!!

if a hockey ticket regular cost $25 and the sale price cost $20

Answers

Answer:

The sale price would be 20% off.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

4x+6y = 36 in slope intercept form ?

Answers

Answer:

y = -2/3x + 6

Step-by-step explanation:

Answer: [tex]y = - \frac{2}{3} x + 6[/tex]

Matt bought notebooks at the store for $1.07 each. He spent $3.21 on the notebooks. Let x represent the number of notebooks Matt bought. Use the equation 1.07x = 3.21 to find the number of notebooks he bought.

Answers

answers 3, you move 1.07 under 3.21 and divide those two and you get 3.

Which of the following correctly isolates the constant for the polynomial: x2 – 12x + 27

A. x^2 – 12x = 27
B. x^2 - 12x = 36
C. x^2 - 12x = -27
D. x^2 + 27 = 12x

Answers

Answer:

x^2 - 12x = -27

Step-by-step explanation:

Here, we want to isolate the constant for the polynomial

To do this, we start by setting the expression to zero

Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value

Mathematically, we have this as;

x^2 - 12x + 27 = 0

x^2 - 12x = -27

How would you plot -3,-3 on a coordinate plane??

Answers

You plot -3 on x-axis and -3 on the y-axis

Mark with crown!
starting from the center, go three lines to the left then down three lines

A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.

A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×​

Answers

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

PLS HELPPPP!! ITS DUE TODAY!!!! ASAP!!! AHHH. No links

Answers

Answer:

x=18, 96-24=72, x+3x=72, 4x=72, x=18

Step-by-step explanation:

Kelvin ordered four pizzas for a birthday party. The pizzas were cut in eights. How many slices were there?

Answers

Answer: 32

Step-by-step explanation:

4(8)=32

Find the product of 7 7/10 and 10/11 ?

Answers

Answer:

The answer I think would be 7. Hope this helped!!

Pls help asap thx
...​

Answers

Answer:

70

Step-by-step explanation:

35 times 4 = 140. 210-140= 70

Find the volume of the cone show all your work .

Answers

Answer:

hope this helps you out good luck

a 3 inch radius circle is drawn inside a 7 in radius Circle if you throw a dart at the circles what is the probability you land inside the smaller circles​

Answers

Answer:0.82

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

can anyone answer this math question for me plz?

Answers

Answer: C

Explanation: 15% off of $45 is $38.25, and 10% off of $40 is $36. Techno hut is cheaper by $2.25.

What is the next term of the geometric sequence 5, 20,80

Answers

Answer:

a₄ = 320

Step-by-step explanation:

To obtain a term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then

a₄ = 4 × a₃ = 4 × 80 = 320

Helppppppppppp
31. The students are selling wrapping paper to raise money. Each roll of paper rolle for 5%,
Part A
Write m expression that represents the total amount of money, in dollars, the students raise
from selling x rolls of wrapping paper
Part B.
The goal of the students was to raise $600. They sold 6% rolls of paper. By what amount did
the students miss their goal of raising 5600? Show or explain all of your work

Answers

Answer:

So The Answer would be 600=1.05x and 600=1.06x for part A and B

Step-by-step explanation:

For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;

Part A: 600= 1.05x

The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$  

For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"

Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b

Answers

Answer:

-2°F>-5°F

Step-by-step explanation:

-2°F is greater than -5°F

This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.

i really need help please​

Answers

B. 30% is the better deal

.3x12=3.6

(:

Please help I'll mark brainliest

Answers

Put your y-intercept at (0,1), and then place the points (3,2), (6,3), (9, 4), (-3,0), (-6,-1), and then (-9, -2).

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. If a salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary?

Answers

Answer:

$60,000

Step-by-step explanation:

Given data

Base salary=$35000

commssion= 10%

Sales=  $250,000

Let us find the commission

=10/100* 250,000

=0.1*250,000

=25000

Hence the total income is

=25000+35000

=$60,000

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