Question

The curved surface area of a cylinder is 250cm². If the cylinder is 12cm high, find its volume, correct to 2 d.p. (Take π = ²²/7)

Answer 1

Given:

The curved surface area of a cylinder is 250cm². If the cylinder is 12cm high

To find:

Its volume, correct to 2 d.p. (Take π = ²²/7)

Solution:

We know,

$\boxed{\bold{Curved \:Surface \:Area = 2\pi r h}}$

Let "r" cm be the radius of the cylinder.

The height of the cylinder, h = 12 cm

The curved surface area of the cylinder = 250 cm²

∴ $2 \pi rh = 250$

$\implies 2 \times \frac{22}{7} \times r \times 12 = 250$

$\implies r = \frac{250 \times 7 }{2 \times 22 \times 12}$

$\implies r = \frac{1750 }{528}$

$\implies r = 3.3\:cm$

We know,

$\boxed{\bold{Volume\: of\: a\: cylinder = \pi r^2h }}$

Now, by using the above formula, we get

The volume of the cylinder is,

= $\frac{22}{7} \times 3.3^2 \times 12$

= $\frac{22}{7} \times 10.89 \times 12$

= $\bold{410.70\:cm^3}$ (corrected to 2 decimal points)

Thus, the volume of the given cylinder is → 410.70 cm³.

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Answer 2

Answer:

Step-by-step explanation: