Question

The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the

Answer 1

Answer:

Option A. 11.15 in³

Step-by-step explanation:

The question is as following:

A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom. The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

A.) 11.15 in³

B.) 11.22 in³

C.) 0.07 in³

D.) 33.67 in³

=========================================

Solution:

Volume of the cone = π r² h/3

Vcone = 3.14 * (1.75in)² * 3.5in/3

Vcone = 3.14 * 3.0625 in² * 1.167

Vcone = 11.22 in³

Volume of the gum ball = 4/3 * π * r³

Vball = 4/3 * 3.14 * (0.5in/2)³

Vball = 4/3 * 3.14 * (0.25in)³

Vball = 4/3 * 3.14 * 0.015625 in³

Vball = 0.065 in³

11.22 in³ - 0.065 in³ = 11.155 in³  

The answer is option A. 11.15 in³