Advertisements
Advertisements
प्रश्न
A sphere cut out from a side of 7 cm cubes. Find the volume of this sphere?
Advertisements
उत्तर
∵ Diameter of sphere equal to sides of cube.
∴ Radius of sphere = `7/2` cm
Volume of sphere = `4/3` πr3
Volume of sphere = `4/3 xx 22/7 xx 7/2 xx 7/2 xx 7/2`
Volume of sphere = `539/3 = 179.66` cm3.
संबंधित प्रश्न
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
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 hollow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
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.
A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
Find the radius of the sphere whose surface area is equal to its volume .
A sphere has the same curved surface area as the curved surface area of a cone of height 36 cm and base radius 15 cm . Find the radius of the sphere .
The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm and the other dimensions are as shown.
Calculate :
- the total surface area.
- the total volume of the solid and
- the density of the material if its total weight is 1.7 kg.
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
