PE 2 - Mensuration

A 20-cm long cylindrical iron tank is filled with silver. The outer and the inner diameters of the iron tankare 12 cm and 9 cm respectively. Find the weight of the tank (in kg), if 1 cubic centimeter of iron weighs 28 gm and that of bronze weighs 21 gm. [π = 22/7]

A glass, in the shape of a frustum of a cone is full of water. The radii of the bases of the frustum are 6 cm cm and 4 cm and its height is 14 cm. The glass was emptied into another glass, which is conical with a base radius 4 cm. If the second tank is just full, find its height (in m).

A water bottle, which contains water, has a cylinder of radius 2 cm on top of another cylinder of radius 3 cm. When the bottle is upright, the height of the water is 3 cm, as shown in the cross-section of the bottle in Figure 1. When the bottle is upside down, the height of the liquid is 8 cm, as shown in Figure 2. What is the total height of the bottle in cm?

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