A conical heap is

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.