Question

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

Answer 1

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.

Answer 2

The correct answer is letter D. 72 in3