Question

all dimensions of a cylinder are multiplied by 1.5. If original volume is 100cm3, what is new volume?a. 337.5cm3b. 450cm3C. 150cm3d. 225cm3

Answer 1

Recall the the volume of a cylinder

`V=\pi r^2h`

Since the dimensions are multiplied by 1.5, then the volume becomes

`\begin{gathered} V=\pi(1.5r)^2\cdot1.5h \\ V=1.5^3(\pi r^2h) \end{gathered}`

Since the initial volume of the cylinder is 100 cm³ then the new volume is

`\begin{gathered} V=1.5^3*100 \\ V=337.5 \end{gathered}`

Therefore the required answer is

`V=337.5cm^3`