Q. 195.0( 4 Votes )

A conical heap is

Answer :

Concept Used: Circumference of the base of the cone = 2πr


Curved Surface Area of cone = πrl


The volume of cone


Where r = radius of the cone, h = height of the cone, and l = slant height of the cone.


Given:


The slant height of the heap = 35 cm


The circumference of the base = 132 cm


Explanation:


Let us find the radius of the Heap first,


2πr = 132 cm


r


r


r = 21 cm


The amount of tarpaulin to cover the heap = Curved Surface Area of the cone = πrl


Now put the value of “r” and “l” we get,


The amount of tarpaulin to cover the heap


The amount of tarpaulin to cover the heap = 2310 cm2


Amount of food grains = Volume of food grains


Amount of food grains


Now we need to calculate the height of the cone.



h =


h =


h = 28 cm


Putting the value of “h” in the formula of volume of the cone we get,


Amount of food grains


Amount of food grains = 12936 cm3


Now half of the food grains are donated to the orphanage,


Amount of food grains donated


Amount of food grains = 6468 cm3


Hence, The amount of food grains donated are 6468 cm3.


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