Question

Question 10
In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. a margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade. $[Assume\pi =\frac{22}{7}]$

Answer 1

Height (h) of the frame of lamp shade = (2.5 + 30 + 2.5) cm = 35 cm
Radius (r) of the circular end of the frame of lampshade
$=\left(\frac{20}{2}\right)cm=10cm$
Cloth required for covering the lampshade
$=2\pi rh=(2\times \frac{22}{7}\times 10\times 35)c{m}^2=2200c{m}^2$
Hence, for covering the lampshade, $2200c{m}^2$ cloth will be required.