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 π =3.14)

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 &#x3C0; =3.14)

Philoid · Accepted Answer

We have,

r adius = 9/2 = 4.5 m

height = 3.5 m

∴slant height l == = 5.70 m

∴ Volume of the heap =

= ×3.14×(4.5)2×3.5 = 74.1825 m³

Area of canvas required = πrl

= 3.14×4.5×5.7 m² = 80.54 m²