Question

how many times greater is the volume of a cylinder compared to a cone with the same base area and height?
three times
four times
half
twice

Explanation:

Step1: Recall volume formulas

Volume of cylinder \(V_{cylinder}=B\times h\) (where \(B\) is base area and \(h\) is height). Volume of cone \(V_{cone}=\frac{1}{3}B\times h\).

Step2: Find the ratio

\(\frac{V_{cylinder}}{V_{cone}}=\frac{B\times h}{\frac{1}{3}B\times h}\). Cancel out \(B\) and \(h\). We get \(\frac{1}{\frac{1}{3}} = 3\).

Answer:

A. Three times