Question

Find the height of a right circular cone which is formed by melting a solid cylinder 3.5m high and 2m in radius given that the radius of the base of the cone is equal to the radius of the cylinder.

Answer 1

Answer:

10.5 mts

Step-by-step explanation:

let height of cylinder be a

volume of cylinder = πr^2a

let height of cone be b

volume of cone = 1/3 π r^2 b

radius of both are equal

$\frac{22}{7} \times {2}^{2} \times 3.5 = \frac{1}{3} \times \frac{22}{7} \times {2}^{2} \times b \\ b = 3.5 \times 3 \\ b = 10.5$

height of the cone is 10.5 meters