Question

The volume of a cone is 27 cm³. What is the volume of a cylinder that shares

the same radius and height as the cone? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Given that the volume of the cone is 27 cm³, we can substitute this into the formula, resulting in:

27 = (1/3)πr²h

Since the cone and cylinder share the same radius and height, the corresponding volume formula for a cylinder is V = πr²h.

To find the volume of the cylinder, we can plug in the same values for r and h:

V = πr²h

V = πr²h

V = πr²h

V = πr²h

Therefore, the volume of the cylinder that shares the same radius and height as the cone is 81 cm³.