Question

cylinder a has twice the height of cylinder b. cylinder b has twice the radius of cylinder a.

use the drop - down me the volume of the cylinders.
cylinder as volume is cylinder bs volume is 80π cubic units.
cylinder as volume is four times as much, two times as much, the same, half as much, one fourth as much as cylinder bs volume.

Explanation:

Step1: Recall Cylinder Volume Formula

The volume of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Calculate Volume of Cylinder A

For Cylinder A, \( r = 2 \) and \( h = 10 \). Substitute into the formula:
\( V_A = \pi (2)^2 (10) = \pi \times 4 \times 10 = 40\pi \).

Step3: Calculate Volume of Cylinder B

For Cylinder B, \( r = 4 \) and \( h = 5 \). Substitute into the formula:
\( V_B = \pi (4)^2 (5) = \pi \times 16 \times 5 = 80\pi \).

Step4: Compare Volumes of A and B

Find the ratio \( \frac{V_A}{V_B} = \frac{40\pi}{80\pi} = \frac{1}{2} \). So, Cylinder A’s volume is half as much as Cylinder B’s volume.

Answer:

half as much