A cylindrical bucket of radius 18 cm and height 32 cm is full of sand. The sand is emptied to form a conical heap of height 24 cm.
Find the radius of the conical heap.

Question

A cylindrical bucket of radius 18 cm and height 32 cm is full of sand. The sand is emptied to form a conical heap of height 24 cm. Find the radius of the conical heap.

Accepted Answer

36 cm. Cylinder = π(324)(32) = 10368 π. Cone = 1/3 π r^2 (24) = 8 π r^2 = 10368 π => r^2 = 1296 => r = 36 cm.

A cylindrical bucket of radius 18 cm and height 32 cm is full of sand. The sand is emptied to form a conical heap of height 24 cm.
Find the radius of the conical heap.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Volume of a Cone practice

A cylindrical bucket of radius 18 cm and height 32 cm is full of sand. The sand is emptied to form a conical heap of height 24 cm.Find the radius of the conical heap.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Volume of a Cone practice

A cylindrical bucket of radius 18 cm and height 32 cm is full of sand. The sand is emptied to form a conical heap of height 24 cm.
Find the radius of the conical heap.