Mathematics: The cone shown has a volume of 12π in3. find the volume of a cylinder with the same base and height as the cone. a) 4π in3 b) 9π in3 c) 24π in3 d) 36π in3

258Step-by-step explanation:...

The cone shown has a volume of 12π in3. find the

hallynwright9722

01.01.2022

The correct option is D.

Step-by-step explanation:

The volume of cone is 12π in³.

The volume of cone is

$V=\frac{1}{3}\pi r^2h$

$12\pi =\frac{1}{3}\pi r^2h$

Multiply both sides by 3.

$36\pi =\pi r^2h$

Divide both sides by π.

36 =r^2h ..... (1)

It is given that base and height of cone and cylinder are equal.

The volume of cylinder is

$V=\pi r^2h$

Using equation (1), we get

$V=\pi (36)$

$V=36\pi$

Therefore the volume of cylinder is 36π and option D is correct.

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