Question

Create a cylinder with a height of 8 cm and a radius of 4 cm. Make note of the volume. Which could you do to increase the volume? Check all that apply.

Answer 1

Answer:1,2,4,5

Step-by-step explanation: Bit late, but here to help anyone else :) Assuming your options like mine were: 1) Double the height. 2) Double the radius. 3) Double the height but half the radius. 4) Double the radius but half the height. 5) Make the radius and height both 6 cm. The answers are 1,2,4,5.

Doubling the height of a cylinder will always double the volume.

Doubling the radius will always quadruple the volume.

Doubling the height but halving the radius takes away more volume during halving the radius than is gained while doubling the height, which makes the volume less than the original.

Doubling the radius but halving the height gains more volume in doubling the radius than halving the height, which keeps the volume above the original.

Making the radius and height both 6 cm creates a larger volume.

Happy to help :)