The surface area of a sphere of radius 5 cm is five times the curved surface area of a cone of radius 4 cm. Find the height and volume (correct to two decimal places) of the cone.

Explanation

Surface area of sphere`=4pir^2=4pi*25=100pi^2`

Radius of cone=4cm

Surface area of cone`=pirl`

`=pi*4*l=4pilcm^2`

According to question

`100pi=5(4pirl)`

`l=5cm`

`h=sqrt(25-16)=sqrt9=3cm`

...