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 radius 10.5 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 21 cm.
`["Assume "pi=22/7]`
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
`["Assume "pi = 22/7]`
A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.
The volume of a sphere is 38808 cm3; find its diameter and the surface area.
A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.
