Q. 144.3( 12 Votes )

# Let us write by calculating how many marbles with lengths of 1 cm. radius may be formed by melting a solid sphere of iron having 8 cm length of radius.

Answer :

__Given:__

Radius of small marbles = 1cm

Radius of big sphere = 8cm

__Formula used:__

Volume of big sphere = Volume of small spheres × No. of marbles

We know that Volume of sphere = (4/3)×π×r^{3}

Volume of big sphere = (4/3)×π×(8)^{3} cm^{3}

Volume of small sphere = (4/3)×π×(1)^{3} cm^{3}

Putting the values,

⇒ (4/3)×π×(8)^{3} = (4/3)×π×(1)^{3} × No. of marbles

⇒ No. of small marbles = (8)^{3}/(1)^{3} = 512

Rate this question :

The volume of a solid sphere having the radius of 2r units length is

West Bengal Board - MathematicsIf the ratio of the volumes of two solid spheres is 1 : 8, the ratio of their curved surface areas is

West Bengal Board - MathematicsIf curved surface area of a solid sphere is S and volume is V, let us write the value of [not putting the value of π]

West Bengal Board - MathematicsThe length of radius of spherical gas balloon increases from 7 cm to 21 cm as air is being pumped into it let us find the ratio of surface arcas of the balloon in two cases.

West Bengal Board - MathematicsThe numerical values of volume and whole surface area of a solid hemisphere are equal, let us write the length of radius of the hemisphere.

West Bengal Board - MathematicsThe length of diameter of solid sphere of lead is 14 cm. If the sphere is melted, let us write by calculating how many spheres with length of 3.5 cm. radius can be made.

West Bengal Board - MathematicsIf the length of diameter of a solid sphere is 28 cm and it is completely immersed into the water, let us calculate the volume of water displaced by the sphere

West Bengal Board - MathematicsTwo hollow spheres with the lengths of diameter 21 cm and 71.5 cm respectively are made from the sheets of the same metal. Let us calculate the volumes of sheets of metal required to make the two spheres

West Bengal Board - MathematicsIf numerical value of curved surface area of a solid sphere is three times of its volume the length of radius is

West Bengal Board - MathematicsIf the ratio of curved surface areas of two solid spheres is 16 : 9, the ratio of their volumes is

West Bengal Board - Mathematics