A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m

Mensuration (10)

A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap ?

Answer

Radius of conical heap = 12 m 

Volume of rice  = $\frac{1}{3} \times \frac{22}{7} \times 12 \times 12 \times 3.5 m^3$

= 528 m³ 

Area of canvas cloth required = πrl

l = $\sqrt{ 12^2 + (3.5)^2 }=12.5m $

Area of canvas required = $\frac {22}{7} \times 12 \times 12.5$

= 471.4 m²

• Exam Year: 2018