Advertisements
Advertisements
प्रश्न
The radius of a sphere is 2r, then its volume will be ______.
पर्याय
`4/3 pir^3`
`4pir^3`
`(8pir^3)/3`
`32/3pir^3`
उत्तर
The radius of a sphere is 2r, then its volume will be `underlinebb(32/3pir^3)`.
Explanation:
Given, the radius of a sphere is 2r.
The volume of a sphere = `4/3` × (radius)3
Thus, the volume of the given sphere = `4/3 xx pi xx (2r)^3`
= `4/3 xx pi xx 8 xx r^3`
= `(32)/3 pir^3`
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]`
The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the given figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm2 and black paint costs 5 paise per cm2.
The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?
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 cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
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 cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?
A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between.
