Question

the volume of a cylinder is found by using the formula v = πr²h. how do the volumes of cylinder a and cylinder b compare? cylinder a cylinder b the volume of cylinder a is larger. the volume of cylinder b is larger. it is not possible to compare the volumes. the volumes of cylinder a and cylinder b are the same.

Explanation:

Step1: Calculate volume of cylinder A

For cylinder A, $r = 3$ and $h=5$. Using the formula $V=\pi r^{2}h$, we have $V_A=\pi\times3^{2}\times5=\pi\times9\times5 = 45\pi$.

Step2: Calculate volume of cylinder B

For cylinder B, $r = 5$ and $h = 3$. Using the formula $V=\pi r^{2}h$, we have $V_B=\pi\times5^{2}\times3=\pi\times25\times3=75\pi$.

Step3: Compare the volumes

Since $45\pi<75\pi$, cylinder B has a larger volume.

Answer:

The volume of cylinder B is larger.