Advertisements
Advertisements
प्रश्न
A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire.
उत्तर
We have,
the radius of the copper rod, `R = 2/2 =1 "cm"`
the height of the copper rod , H = 10 cm and
the height of the wire, h = 10m = 1000 cm
Let the radius of the wire be r.
As,
Volume of the wire= Volume of the rod
`rArr pir^2h = piR^2H`
`rArr r^2h = R^2H`
`rArr r^2 xx 1000 = 1xx10`
`rArr r^2 = 10/100`
`rArr r^2 = 1/100`
`rArr r= sqrt(1/100)`
`rArr r = 1/10`
`rArr r=0.1 "cm"`
⇒ The diameter of the wire = 2r = 2 × 0.1 = 0.2 cm
∴ The thickness of the wire = 0.2 cm
So, the thickness of the wire is 0.2 cm or 2 mm.
APPEARS IN
संबंधित प्रश्न
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. if each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.) [use `pi = 22/7`]
A vessel in the shape of cuboid ontains some water. If these identical spheres are immersed in the water, the level of water is increased by 2cm. if the area of base of cuboid is 160cm2 and its height 12cm, determine radius of any of spheres?
The volumes of two cubes are in the ratio 1 : 27. The ratio of their surface area is
The diameter of the base of a cone is 42 cm and its volume is 12936 cm3. Its height is
A hemispherical bowl of internal diameter 30 cm is full of a liquid. This liquid is poured into cylindrical bottles of diameter 5 cm and height 6 cm each. How many bottles are required?
The boundary of the shaded region in the given diagram consists of three semicircular areas, the smaller ones being equal and it’s diameter 5 cm, if the diameter of the larger one is 10 cm,
calculate:
(i) The length of the boundary,
(ii) The area of the shaded region. (Take π = 3.14)
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is ______.
A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that `1/8` space of the cube remains unfilled. Then the number of marbles that the cube can accomodate is ______.
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11cm × 12cm?
From a soild cylinder of height 20 cm and diameter 12 cm, a conical cavity of height 8 cm and radius 6 cm is hallowed out. Find the total surface area of the remaining solid.
