Advertisements
Advertisements
प्रश्न
66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.
उत्तर
We have,
Radius of wire, `"r" = 1/2 = 0.5 "mm"`
Let the length of the wire be l .
As,
Volume of the wire = 66 cm3
`=> pi"r"^2"l" = 66`
`=> 22/7xx0.05xx0.05xx"l" = 66`
`=> "l" = 66xx(7)/(22xx0.05xx0.05)`
∴ l = 8400 cm = 84 m
So, the length of the wire is 84 m.
APPEARS IN
संबंधित प्रश्न
A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?
In the middle of a rectangular field measuring 30 m × 20 m, a well of 7 m diameter and 10 m depth is dug. The earth so removed is evenly spread over the remaining part of the field. Find the height through which the level of the field is raised.
In a cylindrical vessel of diameter 24 cm, filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Find the increase in height of water level.
The radii of the ends of a bucket of height 24 cm are 15 cm and 5 cm. Find its capacity. (Take π = 22/7)
A wall 24 m , 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm \[\times\] 16 cm \[\times\] 10 cm . If the mortar occupies \[\frac{1}{10}th\] of the volume of the wall, then find the number of bricks used in constructing the wall.
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
No Question.
The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter.
The height of the cone is 2.8 m. Find the outer surface area of the building.
If the side of a cube is 5 cm, then find its volume.
The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is ______.
