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
Find the amount of water displaced by a solid spherical ball of diameter 0.21 m.
`["Assume "pi=22/7]`
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.
`["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 3.5 cm.
A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9 cm. What is the radius of the ball?
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).
Find the radius of a sphere if its volume is 904.32 cubic cm. (π = 3.14)
A solid sphere and a solid hemisphere have an equal total surface area. Prove that the ratio of their volume is `3sqrt(3):4`
The volume (in cm3) 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
The radius of a sphere is 2r, then its volume will be ______.