Advertisements
Advertisements
प्रश्न
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.
Advertisements
उत्तर
External radius (R) = 14 cm
Internal radius (r) = `21/2` cm
`2/3pi(R^3 - r^3)`
= `2/3 xx 22/7((14)^3 - (21/2)^3)`
= `44/21(2744 - 1157.625)`
= `44/21 xx 1586.375`
= `3323.83 "cm"^3`
संबंधित प्रश्न
A right circular cylinder just encloses a sphere of radius r (see figure). Find
- surface area of the sphere,
- curved surface area of the cylinder,
- ratio of the areas obtained in (i) and (ii).

Find the surface area of a sphere of diameter 14 cm.
Assuming the earth to be a sphere of radius 6370 km, how many square kilo metres is area
of the land, if three-fourth of the earth’s surface is covered by water?
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
A sphere and a cube are of the same height. The ratio of their volumes is
If the surface area of a sphere is 144π m2, then its volume (in m3) is
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate : the number of cones recast. `("Take" pi =22/7)`
