Question

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

Answer 1

Answer:

• Volume of the volleyball is 268 in³

Step-by-step explanation:

Given:

• Diameter of volleyball = 8 inches.

To Find:

• Volume of volleyball

Solution:

We know that volleyball is a sphere.

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

Here,

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

Substituting the required values,

$\dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4$

$\dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times 64$

$\dashrightarrow \sf \: \: Volume = \dfrac{5632}{21}$

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

Hence,

• Volume of the volleyball is 268 in³

Answer 2

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 )