Question

problem 1 the volume of a cone is 30π cubic units. what is the volume of a cylinder with the same radius and the same height?

Explanation:

Step1: Recall volume formulas

Volume of cone: $V_{cone}=\frac{1}{3}\pi r^2 h$; Volume of cylinder: $V_{cylinder}=\pi r^2 h$

Step2: Relate cone and cylinder volumes

$V_{cylinder}=3\times V_{cone}$

Step3: Calculate cylinder volume

$V_{cylinder}=3\times 36\pi$

Answer:

$108\pi$ cubic units