Question

The largest cross-section of the sphere shown has an approximate area of 28.27 cm2, what is the approximate volume of the sphere? A) 14.14 cm3 B) 113.1 cm3 C) 226.2 cm3 D) 904.78 cm3

Answer 1

B

Explanation:

Answer 2

B) 113.1 cm³

Explanation:

The cross-section of a sphere is a circle. The area of a circle is:

A = πr²

The largest cross section passes through the center of the sphere, where the radius of the circle equals the radius of the sphere.

28.27 = πr²

r = 3.00

The volume of the sphere is therefore:

V = 4/3 π r³

V = 4/3 π (3.00)³

V = 113.1