Advertisements
Advertisements
प्रश्न
A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
उत्तर
Given that,
Inner radius `(r_1)` of hemispherical tank = 1cm =`r_1`
Thickness of hemispherical tank =1cm= 0.01m
Outer radius` ( r_2)` of the hemispherical = (1+0.01m)=1.01m
=`r_2`
Volume of iron used to make the tank `=2/3π (r_2^3-r_1^3)`
`=2/3xx22/7[(1.01)^3-1^3]`
=`44/21[1.030301 -1]m^3`
=`0.06348m^3 ` (Approximately)
APPEARS IN
संबंधित प्रश्न
A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹ 4989.60 If the cost of white-washing is ₹ 20 per square meter, find the
- inside surface area of the dome,
- volume of the air inside the dome.
`["Assume "pi=22/7]`
Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the
- radius r' of the new sphere,
- ratio of S and S'.
Find the volume of a sphere whose radius is 10.5 cm .
A sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises `5/3`cm. Find the radius of the cylinder.
A cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75 cm. Find the radius of the ball.
(Use 𝜋 = 22/7).
A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1 .5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by two centimetres?
A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
The outer and the inner surface areas of a spherical copper shell are 576π cm2 and 324π cm2 respectively. Find the volume of the material required to make the shell
A hemispherical tank of radius 1.75 m is full of water. It is connected with a pipe which empties the tank at the rate of 7 litres per second. How much time will it take to empty the tank completely?
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
