Question

If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the ratio of the volumes of the upper part and the cone is

(a) 1 : 2

(b) 1: 4

(c) 1 : 6

(d) 1 : 8

Answer 1

Since,

Therefore,

In and

$\frac{O\text{'}V}{OV}=\frac{O\text{'}C}{OA}$

The ratio of the volume of upper part and the cone,

From eq. (i) and (ii),

We get,

Hence, the correct answer is choice (d).