Question

If a cylinder similar to the one with a 3 ft radius and 8 ft height has been enlarged by a factor of 2, what is its new volume?

A) 48 cubic feet
B) 96 cubic feet
C) 192 cubic feet
D) 384 cubic feet

Answer 1

The new volume of the enlarged cylinder is approximately 19.286 cubic feet.

Step-by-step explanation:

To find the new volume of the cylinder when it has been enlarged by a factor of 2, we need to find the new radius and height of the cylinder. The new radius is 3 ft x 2 = 6 ft, and the new height is 8 ft x 2 = 16 ft. The formula to calculate the volume of a cylinder is V = πr^2h, so the new volume will be V = π(6^2)(16) = 6.144π ft^3. Since π is approximately 3.14, the new volume is approximately 6.144 x 3.14 = 19.286 ft^3.