CUET UG 2024 — General Test Geometry

2024mcqmedium

The volume of a cylinder having base radius 3 cm is 396 cm³. Find its curved surface area (in cm²):

Official previous-year question

Verified 13 Jul 2026.

Options

A
280
B
301.5
C
264
D
320.6

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Solution

To find the curved surface area of the cylinder, we first need to determine its height using the volume formula for a cylinder, which is given by:

$V = \pi r^2 h$

Given that the volume $V = 396 \, \text{cm}^3$ and the radius $r = 3 \, \text{cm}$ , we can substitute these values into the formula:

$396 = \pi (3^2) h$

This simplifies to:

$396 = 9\pi h$

Now, solving for $h$ :

$h = \frac{396}{9\pi} = \frac{44}{\pi} \, \text{cm}$

Next, we use the formula for the curved surface area (CSA) of a cylinder, which is:

$CSA = 2\pi rh$

Substituting the values of $r$ and $h$ :

$CSA = 2\pi (3) \left(\frac{44}{\pi}\right)$

This simplifies to:

$CSA = 6 \cdot 44 = 264 \, \text{cm}^2$

Thus, the curved surface area of the cylinder is $264 \, \text{cm}^2$ .

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Solution

To find the curved surface area of the cylinder, we first need to determine its height using the volume formula for a cylinder, which is given by:

$V = \pi r^2 h$

Given that the volume $V = 396 \, \text{cm}^3$ and the radius $r = 3 \, \text{cm}$ , we can substitute these values into the formula:

$396 = \pi (3^2) h$

This simplifies to:

$396 = 9\pi h$

Now, solving for $h$ :

$h = \frac{396}{9\pi} = \frac{44}{\pi} \, \text{cm}$

Next, we use the formula for the curved surface area (CSA) of a cylinder, which is:

$CSA = 2\pi rh$

Substituting the values of $r$ and $h$ :

$CSA = 2\pi (3) \left(\frac{44}{\pi}\right)$

This simplifies to:

$CSA = 6 \cdot 44 = 264 \, \text{cm}^2$

Thus, the curved surface area of the cylinder is $264 \, \text{cm}^2$ .

CUET UG 2024 — General Test Geometry

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CUET UG 2024 — General Test Geometry

Options

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Solution

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CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

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Current Affairs

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