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Trin · Answer 1 · 2023-09-21T16:12:43+0000

To find the volume of the first cylindric ice cream. Its height is 8 centimeters and its diameter is 4 centimeters. Let's use the formula for the volume of a cylinder.

$V_{\text{cylinder}}=\pi(r)^2h$

Replacing the given information, we have.

$V_{\text{cylinder}}=3.14(2)^2\cdot8=3.14\cdot4\cdot8=100.5\operatorname{cm}$

On the other hand, we use the circular cone formula to find the volume of the second ice cream.

$V_{\text{cone}}=(1)/(3)\pi(r)^2h$

Let's replace the given information.

$V_{\text{cone}}=(1)/(3)\cdot3.14\cdot(2)^2\cdot11.5=48.11\operatorname{cm}$

Then, we subtract the volumes.

$\Delta V=100.5-48.1\approx52.4\operatorname{cm}^3$

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Hence, the answer is C.

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