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? (4 points)

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

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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

ans789

step-by-step explanation:

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3