Advertisements
Advertisements
प्रश्न
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?
Advertisements
उत्तर
Let the number of solid metallic spheres be 'n'
Volume of 1 sphere
= `4/3pi(3)^3`
Volume of metallic cone
= `1/3pi6^2 xx 45`
`n = "Volume of metal cone"/"Volume of 1 sphere"`
`=> n = (1/3pi6^2 xx 45)/(4/3pi(3)^3)`
`=> n = (6 xx 6 xx 45)/(4 xx 3 xx 3 xx 3)`
`=>` n = 15
The least number of spheres needed to form the cone is 15
संबंधित प्रश्न
Find the surface area of a sphere of diameter 21 cm.
`["Assume "pi=22/7]`
A right circular cylinder just encloses a sphere of radius r (see figure). Find
- surface area of the sphere,
- curved surface area of the cylinder,
- ratio of the areas obtained in (i) and (ii).
A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
Find the volume of a sphere whose surface area is 154 cm2.
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?
If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate: the number of cones recasted [π = 3.14]
