Advertisements
Advertisements
प्रश्न
A vessel is in he form of an inverted cone. Its height is 11 cm., and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm., are dropped 2 into the vessel, `2/5`th of the water flows out. Find the number of lead shots dropped into the vessel.
Advertisements
उत्तर
Volume of n lead shots = volume of water displaced.
`n xx 4/3 πr^3 = 2/5 xx 1/3 π R^2 H`
∴ `n = ( 2/5 xx 1/3 π R^2 H)/(4/3πr^3)`
∴ `n = (2R^2H)/(5 xx 4r^3)`
∴ `n = (2 xx 2.5^2 xx 11)/(5 xx 4xx (0.25)^3)`
∴ n = 440 shots.
संबंधित प्रश्न
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:
- the radius of the sphere.
- the number of cones recast. (Take π = `22/7`)
A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.
The surface area of a sphere is 5544 `cm^2`, find its diameter.
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking π = 3.1, find the surface area of the solid sphere formed.
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?
A sphere and a cube are of the same height. The ratio of their volumes is
The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be
Find the volume of the hollow sphere whose inner diameter is 8 cm and the thickness of the material of which it is made is 1 cm .
Find the volume and surface area of a sphere of diameter 21 cm.
