Advertisements
Advertisements
Question
Find the radius of a sphere if its volume is 904.32 cubic cm. (π = 3.14)
Solution
Let the radius of the sphere be r cm.
Volume of the sphere = 904.32 cm3
∴ `4/3`πr3 = 904.32 cm3
⇒ r3 = `[ 904.32 xx 3]/[4 xx 3.14]`
⇒ r3 = 216
⇒ r3 = (6)3
⇒ r = 6 cm
Thus, the radius of the sphere is 6 cm.
APPEARS IN
RELATED QUESTIONS
Find the volume of a sphere whose radius is 0.63 m.
`["Assume "pi=22/7]`
Find the volume of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?
Find the volume of a sphere whose radius is 3.5 cm.
A hemispherical bowl is made of steel 0.25 cm thick. The inside radius of the bowl is 5 cm. Find the volume of steel used in making the bowl.
The diameter of a coper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m, find its diameter.
A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?
The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respectively. If it is melted and recast into a solid cylinder of heigh2`2/3`cm Find the diameter of the cylinder.
A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.