Question -
Answer -
Given,
Height of thecylindrical bucket = 32 cm
Radius of thecylindrical bucket = 18 cm
Height of conical heap= 24 cm
We know that,
Volume of cylinder = ╧А├Ч r2┬а├Ч h
And, volume of cone =1/3 ╧А ├Ч r2┬а├Ч h
Then, from thequestion
Volume of the conicalheap = Volume of the cylindrical bucket
1/3 ╧А ├Ч r2┬а├Ч24 = ╧А ├Ч 182┬а├Ч 32
r2┬а=182┬аx 4
r = 18 x 2 = 36 cm
Now,
Slant height of theconical heap (l) is given by
l = тИЪ(h2┬а+r2)
l = тИЪ(242┬а+362) = тИЪ1872
l = 43.26 cm
Therefore, the radiusand slant height of the conical heap are 36 cm and 43.26 cm respectively.