Question

The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

Options

• 1 : 2 : 3

• 2 : 1 : 3

• 1 : 3 : 2

• 3 : 1 : 2

Answer 1

3 : 1 : 2

Explanation;

Hint:

Volume of (cylinder : cone : sphere)

= `pi"r"^2"h" : 1/3 pi"r"^2"h": 4/3 pi"r^3`

(DIvidend by πr²) = `"h" : "h"/3 : (4"r")/3`

  But r = `"h"/2 = "h" : "h"/3 : (4 xx "h")/(3 xx2)`

= `"h" : "h"/3 : (2"h")/3`

= 3 : 1 : 2