A heap of rice is in the form of a cone of diameter 9 cm and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover heap?
Given for conical heap,
Base Diameter = 9 cm
Base radius, r = 4.5 cm
[as radius = diameter/2]
Height, h = 3.5 cm
Slant height,
We know that,
Volume of cone
Where, r is base radius and h is the height of the cone.
Volume of rice = Volume of conical heap
Volume of rice
Also,
Canvas requires to just cover heap = Curved surface area of conical heap
And we know,
Curved surface area of a cone = πrl
Where r is base radius and l is slant height.
Canvas required = π(4.5)(5.7) = 80.61 cm2 [appx]
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