Question

The surface area of a sphere of radius 5 cm is five times the area of the curved surface area of a cone of radius 4 cm. Find the height and volume of the cone.

Answer 1

surface area of sphere =5 surface area of cone
4pi.(5cm)^2=5.pi. (4cm).lateral height
lateral height=5cm
so height =3cm( use Pythagoras theorem)
and volume=pi (4cm)^2.(3cm)/3=16pi cm^3

Answer 2

i hope this will usful to u