Question

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

Answer 1

Answer: 523.8 cubic inches

Explanation:

Volume of the sphere, V = (4/3) * π * r^3

where r is the radius of the sphere.

Given, the diameter of the sphere (d) = 10 inches

Therefore, the radius of the sphere, r = d/2 =10/2 = 5 inches

Now, substituting the value of the radius to the volume formula,

V = (4/3) * π * (5^3)

= (4/3) * (22/7) * 125

≈ 523.8 cubic inches

Answer 2

Volume of sphere = 3/4 πr^3

r=radius
Given:
diameter(d)=10 in
radius(r)= d/2
=
10/2
=5 in
⇒
4/3 πr^3= 4/3 ∗3.14∗5^3


= 4/3 * 5∗5∗5∗3.14
= 4/3∗125∗3.14
= 1570/3


=523.33 in^3