PYQ Vault

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.

  1. Question 1

    CDS 2 2016

    51
    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 cm31617\ \text{cm}^3. What is the total surface area of the cylinder ?

    Tap an option to check your answer.

  2. Question 2

    CDS 1 2021

    63
    The ratio of the radius of base to the height of a cylinder is 2:32:3. If the volume of the cylinder is 1617 cm3^3, then what is the curved surface area of the cylinder? (Take π=227\pi = \frac{22}{7})

    Tap an option to check your answer.

  3. Question 3

    CDS 1 2022

    64
    The radius and height of a right circular cone are in the ratio 3:73 : 7. If the volume of the cone is 528 cm3\text{cm}^3, then what is the height of the cone? (Take π=227\pi = \dfrac{22}{7})

    Tap an option to check your answer.