Question

which of the figures has a greater volume?
i
r = 3
h = 3
ii
r = 2
h = 6
not enough information to tell
they are the same
i
ii

Explanation:

Step1: Recall cylinder volume formula

$V = \pi r^2 h$

Step2: Calculate Volume of Cylinder I

$V_I = \pi \times 3^2 \times 3 = 27\pi$

Step3: Calculate Volume of Cylinder II

$V_{II} = \pi \times 2^2 \times 6 = 24\pi$

Step4: Compare the two volumes

$27\pi > 24\pi$, so Cylinder I has greater volume.

Answer:

I