Question

Find the volume of the sphere.

Answer 1

Question:

Find the volume of the sphere.  

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 8

Answer:

$Volume = \frac{2048}{3} \pi$ in terms of π

$Volume = 2143.57$ to nearest hundredth

Step-by-step explanation:

Given

Radius, r = 8

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

$V = \frac{4}{3} \pi r^{3}$

Where V = Volume and r = radius

By Substitution,

$V = \frac{4}{3} \pi r^{3}$ becomes

$V = \frac{4}{3} \pi * 8^{3}$

$V = \frac{4}{3} \pi * 512$

$V = \frac{2048}{3} \pi$ in terms of π

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π

$V = \frac{2048}{3} \pi$ becomes

$V = \frac{2048}{3} * 3.14$

$V = 2143.573333$

$V = 2143.57$ to nearest hundredth