Question

The curved surface area of a cylinder is 1320 square cm and it's base has a radius of 10.5cm . Find the height of the cylinder .​

Answer 1

${\underline{\purple{\textsf{\textbf{Answer : }}}}}$

➡ The height of the cylinder is 20cm.

${\underline{\blue{\textsf{\textbf{Explanation : }}}}}$

Given that, C. S. A. (curved surface area) of a cylinder is 1320cm² with a base of radius 10.5cm

We need to find the height of the cylinder

We know that,

❃ C. S. A. of cylinder = 2πrh

Where,

r (radius) = 10.5cm (given)

h (height) = ?

Procedure :

$\sf \longrightarrow \: C. S. A. \: of \: cylinder = 2\pi rh$

$\sf \longrightarrow \: 1320 = 2 \times \frac{22}{7} \times 10.5h$

$\sf \longrightarrow \: 1320 = 44 \times 1.5h$

$\sf \longrightarrow \: \frac{1320}{1.5 \times 44} = h$

${ \pink{ \sf \longrightarrow \: h = 20cm}}$

Therefore :

➡ Height of the cylinder is 20cm.

Answer 2

Step-by-step explanation:

Hope it is helpful to you