Advertisements
Advertisements
प्रश्न
A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of π, the volume of the solid.
Advertisements
उत्तर
Given, Radius of each cone and hemi-sphere (r) = 8 cm
Height of cone (h) = r = 8 cm
∴ Volume of solid
= `1/3pir^2h + 2/3pir^3`
= `1/3pir^2(h + 2r) cm^3`
= `1/3pi xx 8 xx 8(8 + 2 xx 8) cm^3`
= `64/3 pi(8 + 16) cm^3`
= `64/3pi xx 24`
= 512 π cm3
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of radius 10.5 cm.
`["Assume "pi=22/7]`
The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
`["Assume "pi = 22/7]`
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin- plating
it on the inside at the rate of Rs. 4 per 100 `cm^2`
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?
The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
Find the length of the wire of diameter 4 m that can be drawn from a solid sphere of radius 9 m.
