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JEE-MAIN SERIES
Mathematics

Surface Areas And Volumes

7 previous year questions.

Volume: 7 Ques
Yield: Medium

High-Yield Trend

2
2023
5
2022

Chapter Questions
7 MCQs

01
PYQ 2022
medium
mathematics ID: jee-main
Water is being filled at the rate of 1 cm3/sec in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in cm2/sec) at which the wet conical surface area of the vessel increase, is
1
5
2
3
4
02
PYQ 2022
medium
mathematics ID: jee-main
Let the maximum area of the triangle that can be inscribed in the ellipse , having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the -axis, be . Then the eccentricity of the ellipse is
1
2
3
4
03
PYQ 2022
medium
mathematics ID: jee-main
Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is
1
2 : 5
2
19 : 45
3
3 : 8
4
19 : 15
04
PYQ 2022
medium
mathematics ID: jee-main
Let the area of the triangle with vertices and be sq. units. If the points and are collinear, then is equal to
1
64
2
-8
3
-64
4
512
05
PYQ 2022
easy
mathematics ID: jee-main
The area of the polygon, whose vertices are the non-real roots of the equation is
1
2
3
4
06
PYQ 2023
medium
mathematics ID: jee-main
From a square of side 30 cm the squares of side x cm is cut off to make a cuboid of maximum volume. The surface area of cuboid with open top is?
1
400 cm2
2
464 cm2
3
800 cm2
4
900 cm2
07
PYQ 2023
medium
mathematics ID: jee-main

The area of the region {(x,y): x2 ≤ y ≤8-x2, y≤7} is

1
18
2
20
3
21
4
24

About Surface Areas And Volumes - JEE-MAIN

Surface Areas And Volumes is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Surface Areas And Volumes PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Surface Areas And Volumes carry the most weight. Then, tackle the questions iteratively to solidify your understanding.