Question

to make cream ice pops, nina 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. 30π cubic centimeters
b. 20π cubic centimeters
c. 60π cubic centimeters
d. 10π cubic centimeters

Explanation:

Step1: Recall the formula for the volume of a cone

The volume \( V \) of a cone is given by the formula \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 2 \) cm and \( h = 15 \) cm. Substituting these values into the formula, we get:
\( V=\frac{1}{3}\pi\times(2)^2\times15 \)

Step3: Simplify the expression

First, calculate \( (2)^2 = 4 \). Then, multiply \( 4 \) and \( 15 \) to get \( 60 \). Now, multiply \( \frac{1}{3} \) and \( 60 \):
\( V=\frac{1}{3}\pi\times60 = 20\pi \) cubic centimeters.

Answer:

B. \( 20\pi \) cubic centimeters