The total surface area of a solid cylinder is three times its curved surface area. Find the ratio of its height to its radius.

Question

Accepted Answer

1:2. 2πr(h + r) = 3 × 2πrh gives h + r = 3h, so r = 2h and h : r = 1 : 2. (Answering 2 : 1 swaps the two quantities — the cylinder described here is short and wide, its radius twice its height.)

The total surface area of a solid cylinder is three times its curved surface area. Find the ratio of its height to its radius.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice