Q. 485.0( 4 Votes )

# 150 spherical marbles, each of diameter 1.4 cm are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

Answer :

Diameter of spherical marbles cm

=0.7 cm

Diameter of cylinder vessel

=3.5 cm

Volume of 150 spherical balls =150× ^{3}

cm^{3}

=215.6 cm^{3}

Let the rise in level of water be h cm

Volume of rise in level of water (Volume of cylinder )

Volume of Rise in level of water in the vessel =volume of 150 spherical balls

⇒ (22/7) × 3.5 × 3.5 × h = 215.6

⇒ h = 5.6 cm

Rate this question :

A solid cuboid of iron with dimensions 53 cm × 40 cm × 15 cm is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are 8 cm and 7 cm respectively. Find the length of pipe.

RD Sharma - MathematicsA solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cone formed.

RD Sharma - MathematicsHow many coins 1.75 cm in diameter and 2 mm thick must be melted to form a cuboid 11 cm × 10 cm × 7 cm?

RD Sharma - MathematicsA well with inner radius 4 m is dug 14 m deep. Earth taken out of it has been spread evenly all around a width of 3 m it to form an embankment. Find the height of the embankment.

RD Sharma - MathematicsA hemisphere bowl of internal diameter 30 cm is full of a liquid. This liquid is filled into cylindrical - shapes bottles each of diameter 5 cm and height 6 cm. How many bottles are required?

RS Aggarwal - MathematicsDuring conversion of a solid from one shape to another, the volume of the new shape will

NCERT - Maths ExemplarThree solid spheres of radii 6 cm, 8 cm and 10 cm are melted to form a sphere. The radius of the sphere so formed is

RS Aggarwal - Mathematics