Question

A tent is in the form of a cylinder whose height is $5m$ surmounted by a cone of equal base. The diameter of base is $105m$. The slant height of cone is $50m$. Find the cost of cloth at $Rs.15$ per square meter to make the tent.

Answer 1

Tent cylinder height$=5$m

Diameter of base$=105$m

Slant height of cone$=50m=l$

Cost of cloth let Rs. $15$ per $m^2$.

Area of cylinder

$=2\pi rh$

$=2\times \frac{22}{7}\times \left(\frac{105}{2}\right)\times 5$

$=1650m^2$

Area of cone

$=\pi rh$

$=\frac{22}{7}\times \left(\frac{105}{2}\right)\times 50$

$=8250m^2$

Total area$=1650+8250=9900m^2$

Total cost$=9900\times 15$

$=Rs1,48,500$