Question

A large waffle cone has a height of 7.25 inches and a diameter of 3.25 inches. Two scoops of sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter of 3.25 inches. If all the sorbet melts into the cone, will the cone overflow? Show all of your work

2) A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?

3) Which of the following statements about the volume of a sphere and the volume of a cone are true? Select two answers.

A.
You can find the volume of a sphere with only the diameter.

B.
You can find the volume of a sphere with only the radius.

C.
You can find the volume of a cone with only the height.

D.
You can find the volume of a cone with only the diameter.

4) The circumference of an orange is approximately 37.68 centimeters. What is the approximate volume of the orange? Use 3.14 for π.

Answer 1

1. Yes

3. A. and B.

Explanation:

1.

Cone:

V=pi*r^2*h/3

V=pi*1.625^2*7.25/3

V=pi*2.640625*7.25/3

V~20.04

Scoops:

V=[(4/3)*pi*r^3]

V=[(4/3)*pi*1.625^3]

V=[(4/3)*pi*4.291016]

V~17.97

17.97*2>20.04 so it would overflow.