Maths question from Laboratory Attendant exam, 2026 by JKSSB
The sum of the height and radius of the base of a solid right circular cylinder is 46 cm. If the total surface area of the solid cylinder is 6072 cm², what is the volume (in cm³) of the cylinder? (take pi = 22/7 )
Last updated Jun 19, 2026
Correct Answer:
Option D —
11025
My apologies! Let's re-solve this completely using only plain words and standard numbers.
1. Find the Radius
The total surface area of a cylinder is found by multiplying 2 times pi, times the radius, times the combined sum of the radius and the height.
We already know:
The sum of the radius and height is 46 cm.
The total surface area is 6072 square cm.
Pi is 22/7.
Let's plug these into our rule:
6072 = 2 times (22/7) times the radius times 46.
6072 = (2024 / 7) times the radius.
To get the radius by itself, we multiply 6072 by 7 and then divide by 2024:
Radius = (6072 times 7) divided by 2024
Radius = 42504 divided by 2024
Radius = 21 cm
2. Find the Height
We know that the radius and the height added together equal 46 cm.
21 plus height = 46
Height = 46 minus 21
Height = 25 cm
3. Calculate the Volume
The volume of a cylinder is found by multiplying pi times the radius squared (radius times radius) times the height.
Volume = pi times 21 times 21 times 25
Volume = pi times 441 times 25
Volume = 11025 pi
Looking at the options provided, the number matching this result is 11025.
Correct Answer:
D) 11025
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
