Question

A sphere has a diameter of 10 in. What is the volume of the sphere?

Answer 1

v=523.6in^3 is your answer

Answer 2

Answer: $523.33\text{ in.}^3$

Step-by-step explanation:

The volume of sphere is given by :-

$V=\dfrac{4}{3}\pi r^3$, where r is the radius of the sphere.

We are given that, the diameter of the sphere = 10  in.

The the radius of the sphere = $\dfrac{10}{2}=5\ in.$

Now, the volume of sphere will be :-

$V=\dfrac{4}{3}\pi (5)^3\\\\\Rightarrow\ V=\dfrac{4}{3}(3.14) (125)\\\\\Rightarrow\ V= 523.33333\approx523.33\text{ in.}^3$

Hence, the volume of sphere=$523.33\text{ in.}^3$