A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into 12 equal solid cones, each of base radius 3 cm.
Find the height of each cone (in cm).

Question

A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into 12 equal solid cones, each of base radius 3 cm. Find the height of each cone (in cm).

Accepted Answer

15. Cylinder V = π*6^2*15 = π*36*15 = 540 π. Each cone V = 540 π/12 = 45 π. 1/3π*3^2*h = 45 π => 3h = 45 => h = 15 cm.

A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into 12 equal solid cones, each of base radius 3 cm.
Find the height of each cone (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Conversion of Solids practice

A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into 12 equal solid cones, each of base radius 3 cm.Find the height of each cone (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Conversion of Solids practice

A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into 12 equal solid cones, each of base radius 3 cm.
Find the height of each cone (in cm).