A cylinder and a cone have the same volume. The cylinder has a radius of 2inches and a height of 3 inches. the cone has a radius of 3 inches. what is the height of the cone? show work.

Volume  of a cone  and cylinder

The height of the cone is 4 inches

Step-by-step explanation:

The volume of cylinder =  

The volume of cone =

Value of = 3.14

In case of cylinder the value of radius r = 2 inches  and height = 3 inches                                        

Therefore, the volume of the cylinder is given by:

V1 = =   ---------------------------( 1 )

⇒ V1= 3.14 ×2 ×2 ×3

⇒V1 = 3.14 ×12

⇒V1 =37.68 cubic inch

Volume of cone V2 = --------------------------------------( 2)

V2 = 1/3 ×3.14 ×3 ×3 ×h as r =3 inches

Also, given that the volume of cylinder V1 is equal to volume of cone V2                                                    V1 = V2

So equating equation (1) with equation (2 )

So

1/3 ×3.14 ×3 ×3 ×h = 37.68

⇒3.14 ×3 ×h = 37.68

⇒h = 37.68 / ( 3 × 3.14)

⇒ h = 4

Hence, the height of the cone is 4 inches

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

the square root of what number? if you add that, then someone will probably answer the question.