Question

to make conic ice - pops, lisa uses conical molds that each have a height of 15 cm and a radius of 2 cm. how much ice - pop mixture can each mold hold when full?

a. 10π cubic centimeters
b. 60π cubic centimeters
c. 20π cubic centimeters
d. 30π cubic centimeters

Explanation:

Step1: Recall cone volume formula

The volume formula for a cone is $V = \frac{1}{3}\pi r^{2}h$.

Step2: Substitute given values

Given $r = 2$ cm and $h=15$ cm. Substitute into the formula: $V=\frac{1}{3}\pi\times(2)^{2}\times15$.

Step3: Calculate the volume

First, $(2)^{2}=4$. Then $\frac{1}{3}\times4\times15 = 20$. So $V = 20\pi$ cubic - centimeters.

Answer:

C. $20\pi$ cubic centimeters