The total surface area of a cylinder is equal to its volume. Find the relation between radius and height.
Show answer & explanation
Correct answer: B
Explanation
Given:
Radius of cylinder = r
Height of cylinder = h
Total surface area = Volume
By formula:
Total surface area = 2πr(h + r)
Volume = πr²h
2πr(h + r) = πr²h
2(h + r) = rh
2h + 2r = rh
rh − 2h = 2r
h(r − 2) = 2r
h = 2r / (r − 2)