What is the volume of a sphere with a diameter of 12 inches? Use 3.14 for pi. Round your answer to the nearest hundredth. 904.32 in3 1599.65 in3 3500.12 in3 7238.20 in3

Verified Answer :

Mehek

Formula = 4/3πr^2

4/3 3.14 6^2

V = 904.32 in^3

Answer: \(904.32\text{ in.}^3\)

Step-by-step explanation:

We know that the formula to calculate the volume of sphere is given by :-

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

Given : The diameter of the sphere = 12 inches

The radius of the sphere = \(\dfrac{12}{2}=6\text{ inches}\)

\(V=\dfrac{4}{3}(3.14) (6)^3\\\\\Rightarrow\ V=904.32\text{ in.}^3\)

Hence, the volume of the sphere = \(904.32\text{ in.}^3\)