Question

HELP ANSWER FOR 30 POINTS

Answer 1

Answer: 72 cubic inches

Step-by-step explanation:

The formula for the volume of a cone: $\dfrac{1}{3}\pi r^{2}h$

Formula for the volume of a cylinder: $\pi r^{2}h$

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

Upon comparing the two equations above, we get:

$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}$

Since we are given the volume of cone is 24 cubic inches, we can write down the below:

$24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}$

Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.

Answer 2

Answer:

$V_{cylinder}=72\:in^3$

Step-by-step explanation:

• $V_{cone}=24\: in^3$ (Given)

• It is given that: Cone fits exactly inside the cylinder.

• $\implies V_{cylinder}=3*V_{cone}$

• $\implies V_{cylinder}=3*24$

• $\implies V_{cylinder}=72\:in^3$