Source: Previous Question Papers

Find the capacity of a cylindrical cement tank of water, if the diameter of the tank is 7m and height is 2m. (Select two correct alternatives.)

Options

Option A

88 cubic m

Option B is correct

77 cubic m

Option C

88000 litres

Option D is correct

77000 litres

Explanation

The diameter of the cylindrical tank is 77m, so the radius r=72r = \frac{7}{2}m. The height h=2h = 2m. The volume (capacity) of the cylinder is given by V=πr2hV = \pi r^2 h. Substituting the values, V=227×(72)2×2=227×494×2=22×7×24=11×7×22=77V = \frac{22}{7} \times (\frac{7}{2})^2 \times 2 = \frac{22}{7} \times \frac{49}{4} \times 2 = \frac{22 \times 7 \times 2}{4} = \frac{11 \times 7 \times 2}{2} = 77 cubic m. Since 11 cubic m =1000= 1000 litres, the capacity in litres is 77×1000=7700077 \times 1000 = 77000 litres.