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to make cream ice pops, nina uses conical molds that each have a height…

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. 10π cubic centimeters c. 20π cubic centimeters d. 60π cubic centimeters

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is $V = \frac{1}{3}\pi r^2 h$, where $r$ is radius and $h$ is height.

Step2: Substitute given values

Substitute $r=2$ cm, $h=15$ cm into the formula:
$V = \frac{1}{3}\pi (2)^2 (15)$

Step3: Calculate the volume

First compute $(2)^2=4$, then $4\times15=60$, finally $\frac{1}{3}\times60=20$. So $V=20\pi$.

Answer:

C. $20\pi$ cubic centimeters