Question

Find the volume of a right circular cylinder, if the radius ( r ) of its base and height ( h ) are 7 cm and 15 cm respectively.​

Answer 1

Given:

⠀⠀

• Radius of a right circular cylinder is 7 cm
• Height of the cylinder is 15 cm

⠀⠀

To find:

⠀⠀

Volume of the right circular cylinder

⠀⠀

Solution:

⠀⠀

We know that,

Volume of cylinder is πr$^{2}$ h

Value of r and h is already given. So, substituting the known values,

Volume of the cylinder = 22/7 × (7 $^{2}$ ) × 15 cm$^{3}$

= 22 × 7 × 15 cm$^{3}$

= 2310 cm$^{3}$

⠀⠀

Thus, volume of the right cicular cylinder is 2310 cm cube.

Answer 2

$\red\bigstar$Answer:

• 2310cm³

$\pink\bigstar$ Given:

• Radius of the base (r) = 7 cm
• Height of the cylinder (h) = 15cm

$\blue\bigstar$To find:

• The volume of the right circular cylinder

$\red\bigstar$ Solution:

Radius of the base (r) = 7cm

Height of the cylinder (h) = 15cm

We know that,

• Volume of a right circular cylinder = πr²h

So by substituting the values, we get:

πr²h

= $\dfrac{\sf 22}{\sf 7}$ × 7 × 7 × 15

$\dfrac{ \sf \: 22}{ \cancel {\sf \: 7}}\: \times \: \sf7cm \: \times \: \cancel {\: 7}cm \: \times \: 15cm \: \\ = \sf \: 22cm \: \times \: 7cm \: \times \: 15cm \\ = \boxed{\sf \: 2310 \: {cm}^{3} }$

$\therefore$The volume of the right circular cylinder with base 7cm and height 15cm is 2310cm³.

$\pink\bigstar$ Concepts Used:

• Substitution of values

• Volume of a right circular cylinder

$\blue\bigstar$More To Know:

• Volume of a cuboid = lbh

• Volume of a cube = a³

• Total Surface Area of a Cuboid = 2( lb + bh + hl)

• Total Surface Area of a cube = 6a²

• Total Surface Area of a Right circular cylinder is 2πr ( r + h )