Question

A circus tent is cylindrical to a height of 4 m and conical above it If its diameter is 105 m and the slant height of the cone is 80 m then the total surface area of the canvas required is

• A. $15540$ $m^2$
• B. $30880$ $m^2$
• C. $46020$ $m^2$
• D. $14520m^2$

Answer 1

The correct option is D $14520m^2$

For cylinder

Diameter is $105$ m

then radius is $\frac{105}{2}$m

Now height=$4$ m

For cone

$l=80$ m and $r=\frac{105}{2}$

Total surface area of the tent is the sum of lateral suface of cone and cylinder

$=2\pi rh+\pi rl$

$=1320+13200$

$=14520m²$