2016 · Q51
The radius of the base and the height of a solid right circular cylinder are in the ratio 2 :3 and its volume is 1617 {cm}³. What is the total surface area of the cylinder ?
Elementary MathematicsMensuration
- A462 {cm}²
- B616 {cm}²
- C770 {cm}²
- D786 {cm}²
Explanation
Here r = 2k and h = 3k: volume 12πk³ = 1617 gives k³ = 42.875, so k = 3.5. Thus r = 7 and h = 10.5, and TSA = 2πr(h+r) = 2(22/7)(7)(17.5) = 770 cm² (option C).