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The volume of a sphere is 381.51 cubic centimeters. What is the diameter of the

sphere? Use 3.14 for

1 Answer

5 votes

Answer:

Explanation:

Remark

The formula uses the radius so that's what you have to find first.

Then rearrange the formula to find the radius.

Givens

V = 381.51

pi = 3.14

r = ?

Formula (rearranged)

r = ∛(V*3/4*pi)

Solution

r = ∛(V*3/4*pi)

r = ∛(381.51*3/4 * 3.14)

r = ∛898.45

To find the cube root use the answer and look on your calculator to find either ^ or y^x or x^y

key in 898.45 and press one of those three suggested keys.

Then key in 0.3333333 and you get

r = 9.649

That's the radius. You want the diameter

d = 2 * r

d = 2 * 9.649

Answer: d = 19.299

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