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:
[tex]Volume = \frac{2048}{3} \pi[/tex] in terms of π
[tex]Volume = 2143.57[/tex] 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
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V = Volume and r = radius
By Substitution,
[tex]V = \frac{4}{3} \pi r^{3}[/tex] becomes
[tex]V = \frac{4}{3} \pi * 8^{3}[/tex]
[tex]V = \frac{4}{3} \pi * 512[/tex]
[tex]V = \frac{2048}{3} \pi[/tex] in terms of π
Solving further to get the numerical value of volume;
We have to substitute 3.14 for π
[tex]V = \frac{2048}{3} \pi[/tex] becomes
[tex]V = \frac{2048}{3} * 3.14[/tex]
[tex]V = 2143.573333[/tex]
[tex]V = 2143.57[/tex] to nearest hundredth
