Question

a solid cylinder has tsa of 462 cm square its csa is one third of its tsa find its radius and height

Answer 1

2πr(r+h)/3=2πrh
r+h=3h
r=2h---------1

substituting 1 in tsa of the cylinder
462=4πh(3h)
77=2πh²
49=4h²
7/2=h------------2

substituting 2 in 1
then,
r=7

here is your answer hope it was helpful