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.
Given:
⇒Diameter =10.5 m
⇒radius =r =5.25 m
⇒height =3 m
⇒volume =13πr2h
⇒Volume=(13×227×5.25×5.25×3) m3
⇒Volume=86.625m3
For slant height:
⇒l2=h2+r2=32+(5.25)2
=9+27.5625=36.5625
⇒6.0467 m(approx)
Canvas needed to protect wheat from rain
Therefore, curved surface area=πrl
=(227×5.25×6.0467) m2
=99.77 m2(approx)