Question

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

विकल्प

• 1760 m²

• 2640 m²

• 3960 m²

• 7920 m²

Answer 1

7920 m²

Total area of the canvas required = (Curved surface area of the cylinder) + (Curved surface area of the cone)

= (2πrh + πrl)

${\displaystyle =(2\times \frac{22}{7}\times \frac{105}{2}\times 4)+(\frac{22}{7}\times 105\times 40) [\text{d}=105\text{cm}r=\frac{105}{2}\text{cm}]}$

`=(1320 + 6600) m<sup>2</sup>` 

= 7920 m²