Advertisements
Advertisements
प्रश्न
If the ratio of radii of two spheres is 4 : 7, find the ratio of their volumes.
उत्तर
Let the ratio of their radii is r1 : r2
r1 : r2 = 4 : 7
Ratio of their volumes
V1 : V2 = `4/3pi"r"_1^3 : 4/3 pi"r"_2^3`
= `"r"_1^3 : "r"_2^3`
= 43 : 73
Ratio of their volumes = 64 : 343
APPEARS IN
संबंधित प्रश्न
Find the volume of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see the given figure). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2, find the total expenses required for polishing and painting the surface of the bookshelf.
Find the volume of a sphere whose radius is 2 cm.
Find the volume of a sphere whose radius is 3.5 cm.
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
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 capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine `("in " mm^3)` is needed to fill this capsule?
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
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is ______.