Question

The volume of a cylinder is 1200π cm3. What is the surface area of a sphere which has radius equal to the radius of the base of the cylinder if the height of the cylinder is 12 cm?

Answer 1

v(cylinder)=πr^2h
1200π = π×r^2×12
1200/12=r^2
100=r^2
10=r
sa(sphere)=4πr^2
=4×3.14×10×10
=1256 cm3