Question

A sphere and its dimension are shown in the diagram. Which measurement is closest to the volume of the sphere in cubic inches? A) 1,325.4 in.3 B) 188.5 in.3 C) 94.2 in.3 D) 1,767.1 in.3
A sphere and its dimension are shown in the diagram. the dimensions are 15
Which measurement is closest to the volume of the sphere in cubic inches?
A) 1,325.4 in.3
B) 188.5 in.3
C) 94.2 in.3
D) 1,767.1 in.3

Answer 1

The volume of the sphere in cubic inches is option D) 1767.1

Step-by-step explanation:

Given,

The diameter of the sphere = 15 inches

The radius of the sphere, r = diameter/2

                                             =15/2

                                           r =7.5 inches

The volume of the sphere = 4/3 πr^3

⇒ 4/3 π(7.5)^3

⇒ 4/3$\times$3.14$\times$421.86

⇒ 1766.25 cubic inches

⇒ 1767 cubic inches (approximately)