Radius-to-height ratio and volume given: find the dimensions, then height or surface area
This type of question, asked 3 times: CDS 2 2016, CDS 1 2021, CDS 1 2022. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
51The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is . What is the total surface area of the cylinder ?Tap an option to check your answer.
Question 2
CDS 1 2021
63The ratio of the radius of base to the height of a cylinder is . If the volume of the cylinder is 1617 cm, then what is the curved surface area of the cylinder? (Take )Tap an option to check your answer.
Question 3
CDS 1 2022
64The radius and height of a right circular cone are in the ratio . If the volume of the cone is 528 , then what is the height of the cone? (Take )Tap an option to check your answer.