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2 years ago

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

Mathematics

2 answers:

JulijaS [17]2 years ago

6 0

Answer:

Volume of the volleyball is 268 in³

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

Here,

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

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Substituting the required values,

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

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

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

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

Hence,

Volume of the volleyball is 268 in³

Natali [406]2 years ago

4 0

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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Step-by-step explanation:

Remember that for any curve $r(t)$

The tangent vector is given by

$T(t) = \frac{r'(t) }{| r'(t)| }$

And the normal vector is given by

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And also

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Notice that

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