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Sagot :
Answer:
- Volume of the volleyball is 268 in³
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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
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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