Advertisements
Advertisements
प्रश्न
The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.
Advertisements
उत्तर
Let the radius of two sphere number is r1 and r2.
∵ `r_1/r_2 = 1/3`
Volumes of spheres,
V1 = `4/3 πr_1^3`
and V2 = `4/3 πr_2^3`
Now,
`V_1/V_2 = (r_1^3)/(r_2^3) = (r_1/r_2)^3`
`= (1/3)^3 = 1/27`
∴ V1 : V2 = 1: 27
Hence, the volume of two spheres are in the ratio of 1: 27.
संबंधित प्रश्न
Find the surface area of a sphere of radius 5.6 cm.
`["Assume "pi=22/7]`
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin- plating
it on the inside at the rate of Rs. 4 per 100 `cm^2`
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
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.
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?
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 the surface area of a sphere is 144π m2, then its volume (in m3) is
The model of a building is constructed with the scale factor 1 : 30.
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model.
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
A spherical cannon ball, 28 cm in diameter is melted and recast into a right circular conical mould, the base of which is 35 cm in diameter. Find the height of the cone, correct to one place of decimal.
