Air is blown into a spherical balloon so that, when its radius is 6.50 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increasing when the radius is 13.0 cm? (c) Explain physically why the answer to part (b) is larger or smaller than 0.9 cm/s, if it is different.

Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.

Determine the height h to which liquid should be poured into the cup sothat it contacts two thirds of the surface area on the inside of the cup. Neglect the cup’s thickness for the calculation.

Density of fluid : 1 x 10 kg/m^3 Diameter of hose : 2 cm A tank of waste water is being emptied by means of siphon if the wastewater travels downward  by the distance indicated and the tank is emptied in 250s what volume of wastewater is in the tank?