Question

The curved surface area of a cylinder is 1980 cm square and radius of its base is 15 cm. Find the height of the cylinder.

Answer 1

Answer:

21 cm

Step-by-step explanation:

csa of cylinder is 1980=2πrh

2.22/7 .15.h=1980

22/7.30.h=1980

h=66.7/22

h=3.7

h=21cm

Answer 2

$\huge\bold{\mathtt{\purple{A{\pink{N{\green{S{\blue{W{\red{E{\orange{R}}}}}}}}}}}}}$$\huge \Rightarrow$

$\large\bold\purple {Note:}$

We have to take $\large (\pi = \frac {22}{7})$

$\large \bold\green {Given:}$

Here, the curved surface area = 1980 cm²

r = 15 cm, h = ?

$\large \bold\red {Solution:}\Rightarrow$

The curved surface area of a cylinder = $\large 2\pi rh$ ...(Formula)

$\Rightarrow$ 1980 = $2×\Large \frac {22}{7} × 15× h$

$\Rightarrow$ $h= \Large \frac {1980×7}{2×22×15}=\frac {15×6×22×7}{2×22×15}$

$\Rightarrow$ 21 cm.

$\large\bold\orange{Ans:} \rightarrow$

The height of the cylinder is 21 cm.