Frustum (bucket, glass, tub): volume, slant height or surface area from end radii and height
This type of question, asked 5 times: CDS 2 2016, CDS 1 2019, CDS 2 2020, CDS 2 2021, CDS 1 2025. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
55A drinking glass of height 24 cm is in the shape of frustum of a cone and diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as , then what is the value of ?Tap an option to check your answer.
Question 2
CDS 1 2019
68A bucket is in the form of a truncated cone. The diameters of the base and top of the bucket are 6 cm and 12 cm respectively. If the height of the bucket is 7 cm, what is the capacity of the bucket ?Tap an option to check your answer.
Question 3
CDS 2 2020
89The radii of the flat circular faces of a bucket are x and 2x. If the height of the bucket is 3x, what is the capacity of the bucket ? (Assume )Tap an option to check your answer.
Question 4
CDS 2 2021
73A tub is in the shape of a frustum of a cone. The radii of two circular ends of the tub are 105 cm and 42 cm. If the vertical height of the tub is 16 cm, what is its slant height ?Tap an option to check your answer.
Question 5 (case study, 2 parts)
CDS 1 2025
Consider the following for the next two (02) items that follow : A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height k.51What is the whole surface area of the frustum ?Tap an option to check your answer.
52What is the volume of the frustum ?Tap an option to check your answer.