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 = π× r2 × h
And, volume of cone =1/3 π × r2 × h
Then, from thequestion
Volume of the conicalheap = Volume of the cylindrical bucket
1/3 π × r2 ×24 = π × 182 × 32
r2 =182 x 4
r = 18 x 2 = 36 cm
Now,
Slant height of theconical heap (l) is given by
l = √(h2 +r2)
l = √(242 +362) = √1872
l = 43.26 cm
Therefore, the radiusand slant height of the conical heap are 36 cm and 43.26 cm respectively.