Question

If the curved surface area of a cylinder is $1760$ sq.cm and its base radius is $14$ cm, then its height is:

• A. $10$ cm
• B. $15$ cm
  
• C. $20$ cm
• D. $40$ cm

Answer 1

The correct option is C $20$ cm

Given, curved surface varea of cone $=1760$ sq.cm and radius $=14$ cm

Curved surface area of a cylinder of radius "$R$" and height "$h$" $=2\pi Rh$

Hence, curved surface area of the given cylinder $=2\times \frac{22}{7}\times 14\times h=1760$sq.cm

$\therefore h=20$ cm