Match the given areas of various solid objects with their respective formulae: | List I | List II | |---|---| | Area of solid object | Formula | | (A) Lateral surface area of a cylinder | (I) $\pi r\sqrt{r^2 + h^2}$ | | (B) Total surface area of a hemisphere | (II) $4\pi r^2$ | | (C) Lateral surface area of a cone | (III) $2\pi rh$ | | (D) Surface area of a sphere | (IV) $3\pi r^2$ | (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:

Match the given areas of various solid… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Geometry

2025mcqeasy

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

List I	List II
Area of solid object	Formula
(A) Lateral surface area of a cylinder	(I) $\pi r\sqrt{r^2 + h^2}$
(B) Total surface area of a hemisphere	(II) $4\pi r^2$
(C) Lateral surface area of a cone	(III) $2\pi rh$
(D) Surface area of a sphere	(IV) $3\pi r^2$

(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:

Official previous-year question

Held on 14 May 2025 · Verified 13 Jul 2026.

Options

A
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)
B
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
C
(A) - (I), (B) - (IV), (C) - (III), (D) - (II)
D
(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

Did you get this right?

Solution

The lateral surface area of a cylinder is the curved surface, excluding the top and bottom circles.

For a cylinder with radius $r$ and height $h$ :

Lateral surface area $= 2\pi rh$

Match: (A) → (III)

A hemisphere is half of a sphere. The total surface area includes the curved dome and the flat circular base.

Curved surface area $= 2\pi r^2$

Flat circular base $= \pi r^2$

Total surface area $= 2\pi r^2 + \pi r^2$

$= 3\pi r^2$

Match: (B) → (IV)

The lateral surface area of a cone is the slanted curved surface, excluding the base.

The slant height from the tip to the edge of the base $= \sqrt{r^2 + h^2}$

Lateral surface area $= \pi r \times \text{slant height}$

$= \pi r\sqrt{r^2 + h^2}$

Match: (C) → (I)

The surface area of a sphere with radius $r$ :

Surface area $= 4\pi r^2$

Match: (D) → (II)

Final matching:

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Your note

CUET UG Geometry in other years

Geometry 2024 Geometry 2023 Geometry 2022

More CUET UG Geometry questions

A solid, metallic right circular cone of radius 7 cm and height 3 cm is melted into three cubes. If the sides of two cubes are 3 cm and 5 cm, then the side of the third cube will be how much?

2025medium

If area of a square is 44 cm², find the area of the circle formed by the same perimeter.

2025medium

The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?

2025medium

(A). The angles of depression of two ships from the top of a lighthouse are $60^\circ$ and $45^\circ$ towards the east. If the ships are $300$ meter apart, the height of the lighthouse is $150(3+\sqrt{3})$ $$\newline$ (B). If the surface area of a cube is $726 \text{ m}^2$, then its volume shall be $1331 \text{ m}^3$ $$\newline$ (C) If the ratio of diameters of two spheres is $3:5$, then the ratio of their surface area shall be $9:25$ $$\newline$$ Determine as to which of the statements given above are correct :

2025medium

From A point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45°, respectively. If the bridge is at a height of 9 m from the surface of the river, then find the width of the river.

2025medium

View all Geometry questions

Keep practicing Geometry

Work through every CUET UG Geometry PYQ, year by year.

Browse all General Test topics

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

Quantitative Reasoning

Current Affairs

Keep practicing Geometry