A shotput is a metallic sphere of radius 4.9 cm .If the density of the metal is 7.8g. Per `cm ^(3) ` find the mass of the shotput.

Find the volume of sphere of radius 6.3 cm

A metal piece of mass 160 g lies in equilibrium inside a glass of water as shown in figure. The piece touches the bottom of the glass at a small number of points. If the density of the metal is 8000 kg m^-3 , find the normal fore exerted by the bottom of the glass on the metal piece.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6cm. Find the height of the cylinder.

An aluminium sphere of radius 12 cm is melted to make a cylinder of radius 8 cm. Find the height of the cylinder.

What is volume of sphere whose radius is 4cm? (pi=3.14)

A metallic element exists as a cubic lattice. Each edge of the unit cell is 2.88Å . The density of the metal is 7.20 gcm^(-3) . How many unit cells there will be in 100g of the metal ?

A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5cm are dropped into the vessel, 1/4 of the water flows out. Find the number of lead shots dropped into the vessel.