Question

Radius of a cylinder is x cm and its height is 2x cm. Its volume is :
(a) ter cm
(b) 2783 cm
(c) 3ter cm (d) 47er? cm
he height of a cylinder is 4 cm and area of its hase is 250 cm2. The volume of the cylinder​

Answer 1

Its volume is 2πx³ cm³.

The volume of the cylinder is 1000 cm³.

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Let's understand a few concepts:

To solve both of the questions here we will use the following formula:

$\boxed{\bold{Volume \:of\:cylinder = \pi r^2 h = [Area\:of\:the\:base] \times [Height]]}}$

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Let's solve the given problems:

Question 1:

Radius of a cylinder is x cm and its height is 2x cm. Its volume is?

Solution:

The radius of the cylinder = x cm

The height of the cylinder = 2x cm

∴ The volume of the cylinder is,

= $\pi r^2h$

= $\pi \times x^2 \times 2x$

= $\pi \times 2x^3$

= $\boxed{\bold{2\pi x^3\:cm^3}}$

Thus, its volume is 2πx³ cm³.

Question 1:

The height of a cylinder is 4 cm and area of its base is 250 cm². The volume of the cylinder​?

Solution:

The area of the base of the cylinder = 250 cm²

The height of the cylinder = 4 cm

∴ The volume of the cylinder is,

= $Area\:of\:base \times Height$

= $250 \:cm^2 \times 4\:cm$

= $\boxed{\bold{1000\:cm^3}}$

Thus, the volume of the cylinder is 1000 cm³.

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