A cylinder and a cone have the same volume the cylinder has a radius of two inches and a hieght of three inches the cone has a radius of three inches what’s the hieght of the cone

The height of the cone 4 inches.

Step-by-step explanation:

Given,

Volume of cylinder and cone is same.

For cylinder

Radius (r) = 2 inches

Height (h) = 3 inches

For cone

Radius (r) = 3 inches

To find the height of cone say H

Formula:

Volume of cylinder = π

Volume of cone = π

According to the problem,

π = π

or, H =

or, H = 4

Hence,

The height of the cone 4 inches.

H = 4

Cylinder V= 37.68

Cone V = 37.68 (workings below)

Step-by-step explanation:

Cylinder V= pi x r x r x 3

= 3.14 x 2 x 2 x 3

= 12.56 x 3

= 1.68+36

= 37.68

Cone  V= pi x r x r x ?

= 3.14 x 3 x 3

= 28.26

=37.86 / 28.26 =1.339

=1.34 x 28.26=37.86

Retry= 1/3 * base * height.

= 1/3*3.14*3=3.14 x 4 = 12.56

Then x 3 base again = 37.68

= 4  

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation:

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