A cone and a cylinder have identical heights and the same base radius. If Tamika knows the volume of the cone, what must she do to find the volume of the cylinder?(1 point)

Question

Responses

She must add 3 to the volume of the cone.
She must add 3 to the volume of the cone.

She must add 13
to the volume of the cone.
She must add 1 third to the volume of the cone.

She must add 13
to the volume of the cone.
She must add 1 third to the volume of the cone.

She must multiply the volume of the cone by 3.

Answer 1

To find the volume of the cylinder when Tamika knows the volume of the cone, she must multiply the volume of the cone by 3.

The volume formulas are as follows:

• Volume of a cone: \( V_{cone} = \frac{1}{3} \pi r^2 h \)
• Volume of a cylinder: \( V_{cylinder} = \pi r^2 h \)

Since the cylinder volume formula does not have the \( \frac{1}{3} \) factor like the cone, to go from the volume of the cone to the volume of the cylinder, you multiply the cone's volume by 3.

Correct response: "She must multiply the volume of the cone by 3."