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CUET General Test 2026 PYQs21 May Shift 1. Free, no login required.

Geometry

past year questions, CUET General Test 2026 21 May Shift 1

Solids

past year questions, Geometry, CUET General Test 2026 21 May Shift 1

Hard

Consider the surface areas of the following solids:

(A) A cuboid of 10 cm long, 7 cm broad, and 5 cm high.

(B) A cylinder of radius 3.5 cm and height 60 cm.

(C) A cone of radius 6 cm and height 8 cm.

(D) A sphere of radius 12 cm.

Arrange the above in decreasing order.

Solution

✅ Correct Option: 4

Cuboid: 2(10⋅7+7⋅5+5⋅10)=3102(10 \cdot 7 + 7 \cdot 5 + 5 \cdot 10) = 310.

Cylinder: 2πr(r+h)=2⋅227⋅3.5⋅63.5=13972\pi r(r+h) = 2 \cdot \frac{22}{7} \cdot 3.5 \cdot 63.5 = 1397.

Cone: slant l=10l = 10, so πr(l+r)=96π≈301.7\pi r(l+r) = 96\pi \approx 301.7.

Sphere: 4πr2=576π≈1809.64\pi r^2 = 576\pi \approx 1809.6.

Decreasing order: (D), (B), (A), (C).

Related questions:

2025: 28 May Shift 2

If a metallic rod of 10 cm length and 2 cm radius is stretched into a wire of 40 m length having uniform thickness, then find the radius of the stretched wire.

2023: 15 June Shift 2

The surface area (in m2m^2) of a sphere of radius 7 cm is:

Use π=227\pi = \frac{22}{7}

2025: 14 May Shift 1

Match the given areas of various solid objects with their respective formulae:

List IList II
Area of solid objectFormula
(A) Lateral surface area of a cylinder(I) πrr2+h2\pi r\sqrt{r^2 + h^2}
(B) Total surface area of a hemisphere(II) 4πr24\pi r^2
(C) Lateral surface area of a cone(III) 2πrh2\pi rh
(D) Surface area of a sphere(IV) 3πr23\pi r^2

(Where, r = radius of the solid shape (or base) and h = height of the solid shape.)

Choose the correct answer from the options given below:

2025: 29 May Shift 1

If the length of a cuboid is increased by 20% and its breadth is decreased by 20%, then the volume of cuboid

2023: 1 June Shift 1

The volumes of 3 solid cubes made of metal are 125 cm3^3, 64 cm3^3 and 27 cm3^3 respectively. After melting all the three cubes a solid cube is made. Find the edge of the new cube.

2025: 13 May Shift 2

Consider the following statements:

I. If the height of a cylinder is doubled, the area of the curved surface is doubled.

II. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold.

Which of the above statement(s) is / are true:

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