A solid metal cylinder of radius 18 cm and height 32 cm is melted and recast into a solid cone of base radius 24 cm.
Find the height of the cone (in cm).

Question

A solid metal cylinder of radius 18 cm and height 32 cm is melted and recast into a solid cone of base radius 24 cm. Find the height of the cone (in cm).

Accepted Answer

54. Cylinder V = π*18^2*32 = π*324*32 = 10368 π. Cone: 1/3π*24^2*h = 1/3π*576*h = 192 π*h. 192h = 10368 => h = 54 cm.

A solid metal cylinder of radius 18 cm and height 32 cm is melted and recast into a solid cone of base radius 24 cm.
Find the height of the cone (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Conversion of Solids practice

A solid metal cylinder of radius 18 cm and height 32 cm is melted and recast into a solid cone of base radius 24 cm.Find the height of the cone (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Conversion of Solids practice

A solid metal cylinder of radius 18 cm and height 32 cm is melted and recast into a solid cone of base radius 24 cm.
Find the height of the cone (in cm).