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

Question

asked Dec 20, 2021 231k views

1 Answer

Tine · Answer 1 · 2021-12-26T20:31:56+0000

Answer: 4in

Explanation:

Volume of a cylinder = πR²H

Volume of a cone = 1/3πr²h

πR²H = 1/3πr²h

π is very common so it could be cancelled, so the equation now becomes

R²H = 1/3r²h

3R²H = r²h

Now substitute for the values

h = 3 x 2² x 3

--------------

3²

= 9 x 4/9

= 4in.

Therefore, the height of the cone

h = 4in.