When water freezes its volume increases by 4%.What volumeof water is required to make `221 cm^3` of ice?

The thickness of a hollow wooden cylinder is 2 cm. It is 35 cm long and its inner rdius is 12 cm. Find the volume of wood required to make the cylinder, assuming it is open at either end.

The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as the radius when the radius is 1 cm and the altitude is 6\ cm . When the radius is 6 cm , the volume is increasing at the rate of 1\ cm^(3)//s . When the radius is 36 cm , the volume is increasing at a rate of n\ cm^(3)//s . What is the value of n ?

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is rho_1 = 0.971 g cm^-3 ?

A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.

The radius of a cylinder increases at the rate of 1 cm/s and its height decreases at the rate of 1 cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/s . Find the rate at which its area is increasing when radius is 3.2 cm .

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed uprightina right circular cylinder full of water such that it touches the bottom..Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm

The area of cross section of the pipe is 4.8 cm2 and water is pumped out of it and the rate of 24 km/hr. Find in litres the volume of water which flows out of the pipe in one minute.