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

Question

asked Nov 10, 2020 172k views

2 Answers

Elfling · Answer 1 · 2020-11-14T16:22:04+0000

Answer:
$523.33\ in.^3$

Explanation:

We know that the volume of a sphere is given by :-

$\text{Volume}=(4)/(3)\pi r^3$ , where r is the radius of the sphere.

Given : The diameter of the sphere = 10 in.

Then, the radius of the sphere=
$(10)/(2)=5\ in.$

Now, the volume of the sphere will be :-

$\text{Volume}=(4)/(3)(3.14) (5)^3\\\\\Rightarrow\ \text{Volume}=523.333333\approx523.33\ in.^3$