Question

The volume of a cylinder is 3960 cm its curved surface area is 1826 cm square find the radius of the base and height of the cylinder

Answer 1

Here,
volume of cyld.=3960 cm3
ie,$\pi$r^2*h=3960
or,22/7 *r^2*h=3960
or,r^2*h=1260
or,h=1260/r^2

Now,
CSA of cyld.=1826cm2
ie,2$\pi$*r*h=1826
or,2*22/7*r*1260/r^2=1826
or,55440/7r=1826
or,7920/r=1826
or,7920=1826r
or,r=4.33cm
and,h=1260/(4.33)^2
         =1260/18.74
         =67.23cm