Question

If the curved surface area of a cylinder is $1760c{m}^2$ and its base radius is 14 cm then its height is

(a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

Answer 1

ANSWER:
(c) 20 cm
Curved surface area = 1760 $c{m}^2$
Suppose "h" cm is the height of the cylinder.
Then we have:
2πrh = 1760
⇒ 2×$\frac{22}{7}$ × 14 × h = 1760
⇒h = $\frac{1760\times 7}{44\times 14}$ = 20 cm