# A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required. - Mathematics

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

["Assume "pi=22/7]

#### Solution

Radius (r) of heap = (10.5/2)m = 5.25 m

Height (h) of heap = 3 m

"Volume of heap "=1/3pir^2h

=(1/3xx22/7xx(5.25)^2xx3)m^3

= 86.625 m3

Therefore, the volume of the heap of wheat is 86.625 m3.

Area of canvas required = CSA of cone

=pirl=pirsqrt(r^2+h^2)

=[22/7xx5.25xxsqrt((5.25)^2+(3)^2)]m^2

=(22/7xx5.25xx6.05)m^2

= 99.825 m2

Therefore, 99.825 m2 canvas will be required to protect the heap from rain.

Concept: Volume of a Right Circular Cone
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.7 | Q 9 | Page 233