Question

if a cone and a cylinder have the same radius and the perpendicular height of the cone is twice that of a cylinder find the ratio of the volume​

Answer 1

2/3

Explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3

Answer 2

2/3

Explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3