Answered

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?


8 in3

24 in3

48 in3

72 in3

Verified Answer :

kayelahhb

The correct answer is letter D. 72 in3

Answer:

72 cubic inches

Step-by-step explanation:

Volume of cone = \(\frac{1}{3}\pi r^{2} h\)   --1

Volume of cylinder = \(\pi r^{2} h\)  --2

We are given that a cylinder should fit exactly inside the cone

On comparing 1 and 2 we can see:

\(\text{Volume of cone}= \frac{1}{3} \text{Volume of cylinder}\)

Since we are given the volume of cone is 24 cubic inches .

So, \(24= \frac{1}{3} \text{Volume of cylinder}\)

\(24 \times 3= \text{Volume of cylinder}\)

\(72= \text{Volume of cylinder}\)

Hence the volume of cylinder is 72 cubic inches

Option D is correct.

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