Advertisements
Advertisements
प्रश्न
A boiler is in the form of a cylinder 2 m long with hemispherical ends each of 2 metre diameter. Find the volume of the boiler.
उत्तर
Given that:
Height of the cylinder h = 2 m
Radius of the cylinder and hemisphere are same and is given by
`r=d/2=2/2=1 m`
The volume of the cylinder is cylinder is
`V_1=pir^2h`
`=22/7xx1^2xx2`
`=22/7xx2 m^3`
There are two hemispheres at each ends of the cylinder, therefore the volume of the two hemispheres is
`V_2=2/3pir^3+2/3pir^3`
`=4/3xx22/7xx1^3`
`=22/7xx4/3m^2`
Therefore, the total volume of the boiler is given by
V = V1 + V2
`=(22/7xx2+22/7xx4/3) m^3`
`=22/7xx10/3m^3`
`=220/21 m^3`
Hence the volume of the boiler is `V =220/21 m^3`
APPEARS IN
संबंधित प्रश्न
A path 2m wide surrounds a circular pond of diameter 40m. how many cubic meters of gravel are required to grave the path to a depth of 20cm ?
Rain water, which falls on a flat rectangular surface of length 6cm and breath 4m is
transferred into a cylindrical vessel of internal radius 20cm. What will be the height of
water in the cylindrical vessel if a rainfall of 1cm has fallen____?
A cylindrical tube of radius 12cm contains water to a depth of 20cm. A spherical ball is dropped into the tube and the level of the water is raised by 6.75cm.Find the radius of the ball .
A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank.
The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, then find its volume.
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.
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, containing some water. Find the number of marbles that should be dropped into the beaker so that the water level rises by 5.6 cm.
A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. Find the length of the wire.
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as `22/7`, the capacity of bowl in cm³ is ______.
In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is ______.
