Advertisements
Advertisements
प्रश्न
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
उत्तर
Given: Diameter of spherical ball = 4.2 cm
Now, radius of spherical ball (r) = `4.2/2` cm = 2.1 cm
Amount of water displaced by solid spherical ball = Volume of solid spherical ball
So, volume of spherical ball = `4/3 pir^3`
= `4/3 xx 22/7 xx (2.1)^3`
= `88/21 xx 21/10 xx 21/10 xx 21/10`
= 38.808 cm3
Therefore, the amount of water displaced by solid spherical ball when it completed immersed in water is 38.808 cm3.
APPEARS IN
संबंधित प्रश्न
Find the volume of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
A hemispherical bowl is made of steel 0.25 cm thick. The inside radius of the bowl is 5 cm. Find the volume of steel used in making the bowl.
How mañy bullets can be made out of a cube of lead, whose edge measures 22 cm, each bullet being 2 cm in diameter?
A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be `3/2`cm and 2 cm, find the diameter of the third ball.
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.
If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.
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 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
The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.