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

SOLUTION

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

$\begin{gathered} V=1.5^3\times100 \\ V=337.5 \end{gathered}$

Therefore the required answer is

$V=337.5cm^3$