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?

2.515

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

363 square inches

step-by-step explanation:

surface area of a pyramid is b + 1/2ph

b is the area of the base: 11 x 11 = 121

p is the perimeter of the base: 11 + 11 + 11 + 11 = 44

h is the height of the pyramid: 11

121 + 1/2(44)(11)

121 + 242

363