Question

2. (08.01 MC)A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)15 in 320 in 325 in 330 in 3

Answer 1

We must first assume that the base of the cone and the cylinder hvae tha same base shape and size.

The volumen of a cone is equal to one third of the volumen of the cylinder, whose base and height are equal those of the cone:

Therefore:

`V_{\text{cone}}=(1)/(3)V_(cylinder)`

replacing:

`\begin{gathered} 5=(1)/(3)V_(cylinder) \\ V_(cylinder)=5\cdot3 \\ V_(cylinder)=15 \end{gathered}`

The answer is 15 in^3