Question

a cylindrical bucket 32 centimetre and with radius of base 18 centimetre is filled with sand this bucket is emptied on the ground the owners and their conical heap of sand is formed if the height of the conical heap 24 centimetre find the radius and height of the heap

Answer 1

Height (h1) of cylindrical bucket = 32 cm

Radius (r1) of circular end of bucket = 18 cm

Height (h2) of conical heap = 24 cm

Let the radius of the circular end of conical heap be r2.

The volume
of sand in the cylindrical bucket will be equal to the volume of sand in the conical heap.

Volume of sand in the cylindrical bucket = Volume of sand in conical heap







r2 = = 36 cm

Slant height =

Therefore, the radius and slant height of the conical heap are 36 cm and respectively.

Answer 2

1/3πr²h=πR²h
1/3×r²×h=R²×h
1/3×r²×24=18×18×32
r²=18×18×32×3/24
r²=1296
r=36 cm
hope helps u.