Advertisements
Advertisements
Question
The largest sphere is to be curved out of a right circular of radius 7cm and height 14cm. find volume of sphere?
Solution
Given radius of cylinder (r) = 7cm
Height of cylinder (h) = 14cm
Largest sphere is curved out from cylinder
Thus diameter of sphere = diameter of cylinder
Diameter of sphere (d) = 2 x 7 = 14cm
Volume of a sphere = `4/3pir^3`
`=4/3xxpi(7)^3`
`=(1372pi)/3`
= 1436.75cm3
∴ Volume of sphere = 1436.75cm3
APPEARS IN
RELATED QUESTIONS
A solid toy is in the form of a hemisphere surmounted by a right circular cone. height of the cone is 2 cm and the diameter of the base is 4 cm. If a right circular cylinder circumscribes the toy, find how much more space it will cover.
A hemispherical depression is cut out from one face of a cubical wooden block of edge 21 cm, such that the diameter of the hemisphere is equal to the edge of the cube. Determine the volume and total surface area of the remaining block.
A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.
The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm, respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.
Choose the correct answer of the following question:
A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is
The volumes of two cubes are in the ratio 1 : 27. The ratio of their surface area is
The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is ______.
The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r) : r is ______.
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is ______.
500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04m3?
