Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let h be the height of conee. Then
`1/3 π (35/2)^2 h = 4/3 π (14)^3` ....(Because the volume of conical mould is the same as that of the spherical cannon ball.)
⇒ h = `( 4 xx 14 xx 14 xx 14 xx 2 xx 2)/( 35 xx 35)`
⇒ h = `896/25`
⇒ h = 35.84 cm.
संबंधित प्रश्न
Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]
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 ₹ 16 per 100 cm2.
`["Assume "pi=22/7]`
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
Find the surface area of a sphere of diameter 3.5 cm.
The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :
- radii,
- surface areas.
The cross-section of a tunnel is a square of side 7 m surmounted by a semi-circle as shown in the adjoining figure. The tunnel is 80 m long.
Calculate:
- its volume,
- the surface area of the tunnel (excluding the floor) and
- its floor area.
There is surface area and volume of a sphere equal, find the radius of sphere.
There is a ratio 1: 4 between the surface area of two spheres, find the ratio between their radius.
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?
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
