1. A single scoop ice cream cone is made up of a cone filled with ice cream and a half

sphere of ice cream on top of the cone. The cone's height is double the cone's diameter.

a. Write an equation for the volume of ice cream in a cone in terms of the radius!.

b. The volume of ice cream is 100 cubic centimeters. What is the radius of the cone?

Question

Mathematics

English

6 April, 03:08

1. A single scoop ice cream cone is made up of a cone filled with ice cream and a half

sphere of ice cream on top of the cone. The cone's height is double the cone's diameter.

a. Write an equation for the volume of ice cream in a cone in terms of the radius!.

b. The volume of ice cream is 100 cubic centimeters. What is the radius of the cone?

+2

Answers (1)

Know the Answer?

Matthias Zhang · Answer 1

2.515

Step-by-step explanation:

1. First you add the equation for a cone and a half sphere

(1/3*pi*r^2*h) + (1/2*4/3*pi*r^3)

2. You replace h with 2*r2 because height is 2*Diameter

(1/3*pi*r^2*r2) + (1/2*4/3*pi*r^3)

3. You make the equation equal 100

(1/3*pi*r^2*r2) + (1/2*4/3*pi*r^3) = 100

4. Solve for

r=2.515