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Mensuration 3D

SSC CGL Quant. Try each one first, then open its answer.

Top 10 SSC CGL PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 8 times: 17 Jul 2023 S2, 18 Jul 2023 S1, 18 Jul 2023 S3, 20 Jul 2023 S3, 26 Jul 2023 S1, 12 Sep 2024 S3, 18 Sep 2024 S2, 26 Sep 2024 S1. This one: 26 Sep 2024 S1 See all 8 of this type

    70
    What is the total surface area of a cone whose curved surface area is 550 cm2\text{cm}^2 and radius is 7 cm? (Take π=227)\left(\text{Take } \pi = \frac{22}{7}\right)

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  2. Question 2

    This type asked 7 times: 17 Jul 2023 S4, 20 Jul 2023 S1, 21 Jul 2023 S3, 25 Jul 2023 S1, 18 Sep 2025 S1, 18 Sep 2025 S2, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 7 of this type

    57
    Three metallic spheres with radii 3 cm,4 cm, and 5 cm respectively are melted together and recast into a single solid sphere. What is the radius of the new sphere?

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  3. Question 3

    This type asked 6 times: 18 Sep 2025 S1, 18 Sep 2025 S2, 18 Sep 2025 S3, 19 Sep 2025 S1, 19 Sep 2025 S3, 26 Sep 2025 S1. This one: 26 Sep 2025 S1 See all 6 of this type

    64
    A cone of radius 9 cm and height 12 cm is cut into two parts by a plane parallel to its base, at a height of 4 cm from the vertex. Find the volume of the frustum formed.

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  4. Question 4

    This type asked 6 times: 19 Jul 2023 S2, 25 Jul 2023 S3, 27 Jul 2023 S3, 12 Sep 2024 S1, 13 Sep 2024 S3, 19 Sep 2024 S2. This one: 19 Sep 2024 S2 See all 6 of this type

    63
    The base radius of a circular cylinder is 10.5 cm. If the area of its curved surface is 792 cm2\text{cm}^2, then what is the volume of the cylinder?

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  5. Question 5

    This type asked 5 times: 18 Sep 2025 S2, 19 Sep 2025 S1, 23 Sep 2025 S1, 23 Sep 2025 S3, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 5 of this type

    55
    A rectangular tank measures 12 cm long, 10 cm wide, and 6 cm high. If a spherical ball of the largest possible size is placed inside this tank, what is the volume of the space not occupied by the ball?

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  6. Question 6

    This type asked 5 times: 13 Sep 2025 S3, 16 Sep 2025 S2, 21 Sep 2025 S1, 21 Sep 2025 S3, 23 Sep 2025 S1. This one: 23 Sep 2025 S1 See all 5 of this type

    63
    A triangular prism has a base with area 45 cm2\text{cm}^2 and height 14 cm. If 10%10\% of the prism is hollowed out for wiring, what is the volume of the solid part?

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  7. Question 7

    This type asked 5 times: 18 Sep 2025 S1, 18 Sep 2025 S3, 19 Sep 2025 S2, 20 Sep 2025 S1, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 5 of this type

    65
    The base of a prism is a rectangle whose length is twice its width. The perimeter of the base is 3030 cm. The prism's height decreases in an arithmetic progression from 1515 cm in the first layer to 99 cm in the fourth layer. What is the total volume of the prism?

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  8. Question 8

    This type asked 5 times: 18 Jul 2023 S4, 13 Sep 2025 S3, 15 Sep 2025 S1, 16 Sep 2025 S1, 17 Sep 2025 S3. This one: 17 Sep 2025 S3 See all 5 of this type

    60
    A cone and a sphere have equal volumes. If the cone's height is twice its radius, what is the ratio of the cone's radius to the sphere's radius?

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  9. Question 9

    This type asked 5 times: 14 Jul 2023 S4, 9 Sep 2024 S2, 13 Sep 2024 S2, 24 Sep 2024 S1, 25 Sep 2024 S3. This one: 25 Sep 2024 S3 See all 5 of this type

    62
    A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it.

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  10. Question 10

    This type asked 4 times: 15 Sep 2025 S2, 23 Sep 2025 S3, 24 Sep 2025 S2, 26 Sep 2025 S1. This one: 26 Sep 2025 S1 See all 4 of this type

    63
    A triangular prism has base side lengths 5 cm, 6 cm, and 7 cm and height 10 cm. What is its lateral surface area?

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