Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take
Option 1: 4312 cm3
Option 2: 3696 cm3
Option 3: 4002 cm3
Option 4: 4851 cm3
Correct Answer: 4312 cm 3
Solution :
Let the radius of the base of the cylinder as
The total surface area (TSA) of a right circular cylinder is,
The curved surface area (CSA) of a right circular cylinder is,
Given that the ratio of TSA to CSA is 3 : 1.
Substituting
The volume (
Hence, the correct answer is 4312 cm
3
.