Question

The Height of a cylinder is 2/3 of its diameter.the volume of that cylinder is equal to the volume of the readius of 4 cm. calculate the radius of the base of the cyinder

Answer 1

we are given that,
height of cylinder is=2/3*dimeter
but diameter=2*radius, since
h=2/3*2r=4/3r
now
volume of cylinder=volume of sphere
πr*rh=4/3πr*r*r
π*r*r*4/3r=4/3π*4*4*4
r*r*r=4*4*4
hence
the radius of the base of cylinder is=4cm.