Question

a sphere just fits in a cylindrical vessel and the height of the cylindrical vessel is the same as the height of the sphere.show that the curved surface area of the cylinder is the same as the curved surface area of sphere

Answer 1

if sphere just fit in the cylinderical vessel and height of vessel equal height of sphere then height of vessel equal diameter of sphere
let r is the radius of sphere and vessel
and h is the height of vessel
a/c h=2r
now
surface area of sphere=4.pi.r^2
surface area of vessel=2pi.r.h=2pi.r (2r)
=4pi.r^2
hence
surface area of sphere=surface area of vessel