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

Sagot :

Answer:

  • Volume of the volleyball is 268 in³

[tex]\\[/tex]

Step-by-step explanation:

Given:

  • Diameter of volleyball = 8 inches.

[tex]\\[/tex]

To Find:

  • Volume of volleyball

[tex]\\[/tex]

Solution:

We know that volleyball is a sphere.

[tex]\\[/tex]

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

Here,

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

[tex]\\[/tex]

Substituting the required values,

[tex]\\[/tex]

[tex] \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4 \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times 64 \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: Volume = \dfrac{5632}{21} \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \:{ \underline{ \boxed{ \red{ \pmb{ \mathfrak{ Volume \approx268 \: {in}^{3} }}}}}} \\ \\ [/tex]

Hence,

  • Volume of the volleyball is 268 in³
SupremeStrange

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 )
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