Question

the surface area of a sphere of radius 5cm is five times the area of curved surface of a cone radius4cm find the height andthe volume of cone(takeπ=22/7)​

Answer 1

Step-by-step explanation:

The ratio of the radius and height of the cone is 4 : 7.

Let the radius of the cone be 4x and the height be 7x

So,

Curved surface area of the cone = πrl

792 = 22/7*4x*7x

x² = (792*7)/(22*4*7)

x² = 9

x = √9

x = 3 cm

So, the radius of the cone = 4 × 3 = 12 cm.