Q. 134.8( 6 Votes )

# A cylindrical bucket, 32 cm high and 18 cm of radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and the slant height of the heap.

Answer :

Let the radius of the heap be r and the slant height h,

So, we have

Height of the cylindrical bucket = 32cm

Radius of the base of cylindrical bucket = 18cm

Height of the conical heap = 24cm

Volume of cylinder = volume of cone

πr^{2}h =

r^{2} = 18 × 8 × 4

r = 18 × 2

r = 36cm

slant height l =

l = 43.27cm

Rate this question :

A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1.

RD Sharma - MathematicsA cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius and height of each has the ratio 3:4.

RS Aggarwal & V Aggarwal - MathematicsFind the weight of a solid cone whose base is of diameter 14 cm and vertical height 51 cm, supposing the material of which it is made weighs 10 grams per cubic cm.

RD Sharma - MathematicsIf the volume of a right circular cone of height 9 cm is 48π cm^{3}, find the diameter of its base.

If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

RD Sharma - MathematicsThe slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increases by

RD Sharma - Mathematics