Question

The sum of the radius of the base and height of a solid right circular cylinder is
37 cm. If its total surface area is 1628 cm, find its volume.​

Answer 1

Answer:

(r+h)=37cm

TSA of cylinder=1628cm²

=2πr(h+r)=1628cm²

=2×(22/7)×r×37cm=1628cm²

=r=(1628cm²×7)/2×22×37cm

=r=7cm

Now,

r+h=37

=7cm+h=37cm

=h=37cm-7cm

=h=30cm

Volume of cylinder

=πr²h

=(22/7)×(7cm)²×30cm

=4620cm³