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Question
A heap of wheat is in the form of a cone of diameter 9 m and height 3.5 m. Find its volume. How much canvas cloth is required to just cover the heap? (Use ๐ = 3.14).
Solution
Diameter of heap d =9m
Radius` =9/2m=4.5 m `
Height (h)=3.5m
Volume of heap =`1/3pir^2h`
=`1/3[3.14xx(4.5)^2xx3.5]m^3`
=`74.18m^3`
Slant height l`=sqrt(r^2+h^2)=sqrt((4.5)^2+(3.5)^2)`
= 5.70m.
Area of canvas required= CSA of cone
=` pirl`
=` 3.14xx4.5xx5.7m^2`
= `80.54m^2`
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