Question

a girl empties is a cylindrical bucket full of sand of base radius 18 centimetre and height 42 CM on the floor to form a conical heap of sand if the height of this conical heap is 24 cm then find its slant height correct up to one place of decimal

Answer 1

Volume of cylinder= volume of cone

ð Pi R1^2h = 1/3 pi R2^2H

ð R1^2h = 1/3 R2^2H

ð 18×18×32 = R2^2 × 1/3 × 24

ð 18 × 18 × 32 = R2^2 (8)

ð R2^2 = 1296

ð R2 = 36 cm

Now , slant height ( l ) = √ h2 + r2

= √ 242 + 362

= √ 576 + 1296

= √ 1872

= 43.2 cm

NOTE : R1 = RADII OF CYLINDER

R2 = RADII OF CONE