Answer:
Option A. 11.15 in³
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
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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