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3 years ago

(08.01 MC)

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

3 0

Answer:

d. 72 in³

Step-by-step explanation:

To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:

From the question volume of the cone = 24 cubic inches

volume of a cone = $\frac{1}{3}$ πr²h

and volume of a cylinder = πr²h

This implies

volume of a cone = $\frac{1}{3}$ πr²h

= $\frac{1}{3}$ (volume of a cylinder)

volume of a cone = $\frac{1}{3}$ (volume of a cylinder)

24 = $\frac{1}{3}$ (volume of a cylinder)

multiply both-side of the equation by 3

24×3 = $\frac{1}{3}$ (volume of a cylinder)

72 =volume of a cylinder

Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches

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