Question

the sum of the base radius and the height of a solid right circular cylinder is 37cm. if the total surface area of the cylinder is 1628cm,then find the volume of the cylinder

Answer 1

as we know
tsa of cylinder is 2πr(h+r)
so
1628 = 2*22/7*r(37)
1628 = 1628r/7
r = 1628*7/1628
r= 7cm
and sum of radius and height is 37 m
so r + h = 37
7 + h = 37
so h = 37-7 = 30
so Volume is πr^2h
so V = 22/7*7*7*30
V = 660*7
V = 4620 cm^3