Question

The diameter of a volleyball is approximately 8 inches. What is its volume? Round your answer to the nearest whole number.

Answer 1

Given :-

• Diameter of vollyball :- 8 inches , radius:- 4 inches

To find:-

• Volume of vollyball

Solution:-

• Volume of volleyball :- 4/3πr³

putting the known values ,

Volume :- 4/3×3.14×4×4×4 cubic inches

Volume :- 267.94 cubic inches

• Volume :- 268 cubic inches ( rounded off to nearest whole number )

Answer 2

• Volume of the volleyball is 268 in³

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Explanation:

Given:

• Diameter of volleyball = 8 inches.

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To Find:

• Volume of volleyball

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Solution:

We know that volleyball is a sphere.

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`{\dashrightarrow{ \underline{ \boxed {\red{ \pmb { \mathfrak{Volume_((sphere)) = (4)/(3) \pi r^3}}}}}}} \\ \\`

Here,

• R is radius
• Diameter = 8 inches
• Radius = 8/2 = 4 inches.

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Substituting the required values,

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`\dashrightarrow \sf \: \: Volume = (4)/(3) * (22)/(7) * 4 * 4 * 4 \\ \\`

`\dashrightarrow \sf \: \: Volume = (4)/(3) * (22)/(7) * 64 \\ \\`

`\dashrightarrow \sf \: \: Volume = (5632)/(21) \\ \\`

`\dashrightarrow \sf \: \:{ \underline{ \boxed{ \red{ \pmb{ \mathfrak{ Volume \approx268 \: {in}^(3) }}}}}} \\ \\`

Hence,

• Volume of the volleyball is 268 in³