2016 · Q43
The ratio of the curved surface area to the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 {cm}², what is the volume of the cylinder ?
Elementary MathematicsMensuration
- A539 {cm}³
- B616 {cm}³
- C1078 {cm}³
- D1232 {cm}³
Explanation
CSA/TSA = 2πrh/(2πr(h+r)) = h/(h+r) = 1/2 gives h = r. Then TSA = 4πr² = 616 gives r = 7 (with π = 22/7). Volume = πr²h = 343π = 1078 cm³ (option C).