# geometery

posted by .

A solid metal cylinder with a 4-in. radius and a 10-in. altitude is melted and recast into solid right circular cones each with a 1-in. radius and a 2-in. altitude. The number of cones formed is

• geometery -

vol of cyl = πr^2h = 160π
vol of cone = π/3r^2h = 2π/3

160π / (2π/3) = 240 cones

• geometery -

4^2*pi*10/1^2*pi*2 = 80

## Similar Questions

1. ### Math

A metal cylinder with a 4 inch radius and a 10 inch altitude is melted and recast into solid right circular cones each with a 1 inch radius and 2 inch altutudes. What is the number of cones formed?
2. ### Pure Maths

Two cones are similar in shape and the ratio of corresponding lengths is 3:5. (a) if the radius of the smaller cone is 12cm, find the radius of the larger cone. (b) if there is sufficient paint to paint 216 large cones, how many smaller …
3. ### Calculus

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 2 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer …
4. ### Math

The diagram shows a solid metal cylinder. The cylinder has base radius 2x and height 9x. E cylinder is melted down and made into a sphere of radius r. Find the expression for r in terms of x.
5. ### math

a solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?
6. ### Math

A metal solid cylinder of radius 6 cm and length 12 cm is ,melted and recast into another solid cylinder of length 3 cm. A. Find the base radius of the new cylinder. B. Find the change in total surface area in terms of 3.14.
7. ### Math

Can you also help me with another one, it has a cone on top of a cylinder The cones slant height is 6in The cones length(radius) is 4 in The cones height is not known The cylinders height is 7 in The cylinders length(radius) is also …
8. ### Math

A copper solid cylinder of radius 14cm and height 10cm is melted and recast into cylindrical wire of diameter 4mm.find the length of the copper wire
9. ### maths

Two solid right circular cones and radii r1 and r2 and have the same height h, they are method and react into a cylinder of same height. Show that the radius of the base of cylinder is √[r1]°2+[r2]°2^3.
10. ### MATH

asolid metal cube of side 10cm is melted down and recast as solid metal sphere.calculate the radius of the sphere.Take Pie=3.142

More Similar Questions