Advertisements
Advertisements
प्रश्न
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
उत्तर
Let r be the radius of the bowl.
∴ 2πr = 198
`=> r = (198 xx 7)/(2 xx 22)`
`=>` r = 31.5 cm
Capacity of the bowl
= `2/3pir^3`
= `2/3 xx 22/7 xx (31.5)^3`
= 65488.5 cm3
APPEARS IN
संबंधित प्रश्न
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 ₹ 16 per 100 cm2.
`["Assume "pi=22/7]`
A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.
Find the surface area of a sphere of radius 10.5 cm .
Find the surface area of a sphere of radius 5.6 cm .
The surface area of a sphere is 5544 `cm^2`, find its diameter.
A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.
A hemi-spherical dome of a building needs to be painted. If the circumference of the base of
the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs. 5 per l00
`cm^2`
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :
- the radius of the solid sphere.
- the number of cones recast. [Take π = 3.14]
A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
The cross-section of a tunnel is a square of side 7 m surmounted by a semi-circle as shown in the adjoining figure. The tunnel is 80 m long.
Calculate:
- its volume,
- the surface area of the tunnel (excluding the floor) and
- its floor area.
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 of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.
The total surface area of a hemisphere of radius r is
If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
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 .
A sphere cut out from a side of 7 cm cubes. Find the volume of this sphere?
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
A solid sphere is cut into two identical hemispheres.
Statement 1: The total volume of two hemispheres is equal to the volume of the original sphere.
Statement 2: The total surface area of two hemispheres together is equal to the surface area of the original sphere.
Which of the following is valid?
