What is the volume of a cylinder if it has the same area and height of a cone with a volume of 36pi

The volume of the cylinder is 108 π units³

Step-by-step explanation:

∵ The area of the base of the cylinder is equal to the area of

   the base of the cone

∴ Their radii are equal

∵ The height of the cylinder is equal to the height of the cone

∵ The volume of the cone = 36 π units³

- Equate the formula of the volume of the cone by 36 π

∵ 36 π = πr²h

- Multiply both sides by 3

∴ 108 π = πr²h

- Divide both sides by π

∴ 108 = r²h

- Substitute the value of r²h in the formula of the volume of

   the cylinder

∵ V = πr²h

∴ V = π (108) = 108 π

∴ The volume of the cylinder is 108 π units³

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step-by-step explanation: