which cylinder has a volume of 45π cm³? 4 cm 2 cm 5 cm 9 cm 3 cm 5 cm

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Calculate volume of first - cylinder

For the first cylinder with $r = 2$ cm and $h=4$ cm, $V_1=\pi\times(2)^{2}\times4=\pi\times4\times4 = 16\pi$ $cm^{3}$.

Step3: Calculate volume of second - cylinder

For the second cylinder with $r = 5$ cm and $h = 9$ cm, $V_2=\pi\times(5)^{2}\times9=\pi\times25\times9=225\pi$ $cm^{3}$.

Step4: Calculate volume of third - cylinder

For the third cylinder with $r = 3$ cm and $h = 5$ cm, $V_3=\pi\times(3)^{2}\times5=\pi\times9\times5 = 45\pi$ $cm^{3}$.

Answer:

The cylinder with radius 3 cm and height 5 cm.