Mathematics
A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?
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Answer
Given,
Diameter of heap of cone = 16.8 m
Radius of heap of cone (r) = = 8.4 m
Height (h) = 3.5 m
Volume of cone =
We know that,
⇒ l2 = r2 + h2
⇒ l2 = (8.4)2 + (3.5)2
⇒ l2 = 70.56 + 12.25
⇒ l2 = 82.81
⇒ l = = 9.1 cm.
Cloth required to cover the heap = Curved surface area of heap = πrl
=
= 240.24 m2.
Hence, volume = 258.72 m3 and cloth required to cover the heap = 240.24 m2.
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