The curved surface are of a cylinder is 1760 cm2

Question:

The curved surface are of a cylinder is 1760 cm2 and its base radius is 14 cm. The height of the cylinder is
(a) 10 cm
(b) 15 cm
(c) 20 cm
(d) 40 cm

Solution:

(c) 20 cm

Curved surface area of the cylinder $=2 \pi r h$

$=2 \times \frac{22}{7} \times 14 \times h$

Therefore,

$2 \times \frac{22}{7} \times 14 \times h=1760$

$\Rightarrow h=\frac{1760}{88} \mathrm{~cm}$

$\Rightarrow h=20 \mathrm{~cm}$

Hence, the height of the cylinder is 20 cm.

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now