Advertisements
Advertisements
प्रश्न
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
Advertisements
उत्तर
Diameter of a sphere = 6 cm
Radius = 3 cm
∴ Volume = `4/3pir^3`
= `4/3 xx 22/7 xx 3 xx 3 xx 3`
= `792/7 cm^3` ...(i)
Diameter of cylindrical wire = 0.2 cm
Therefore, radius of wire =`0.2/2 = 0.1 = 1/10 cm `
Let length of wire = h
∴ Volume = πr2h
= `22/7 xx 1/10 xx 1/10 xx h cm^3`
= `(22h)/700 cm^3` ...(ii)
From (i) and (ii)
`(22h)/700 = 792/7`
`=> h = 792/7 xx 700/22`
`=>` h = 3600 cm = 36 m
Hence, length of the wire = 36 m
संबंधित प्रश्न
Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]
Find the surface area of a sphere of diameter 3.5 cm.
A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.
A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
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 number of cones recast. `("Take" pi =22/7)`
There is surface area and volume of a sphere equal, find the radius of sphere.
The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.
The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm. Find the radius of sphere piece.
