An overhead water tanker is in the shape of a cylinder has capacity of

1.	An overhead water tanker is in the shape of a cylinder has capacity of 616 litres. The diameter of the tank is 5.6 m. Find the height of the tank.
Answer» Volume of the cylinder, V = πr²h = 616 Diameter of the tank = 5.6 m Thus its radius, r =d/2 =5.6/2 = 2.8 m Height = h (say) ∴ πr²h = 616 22/7 × 2.8 × 2.8 × h = 616 h = \(\frac {616\times7}{22\times2.8\times2.8}\) = 25 ∴ Height = 25 m

An overhead water tanker is in the shape of a cylinder has capacity of 616 litres. The diameter of the tank is 5.6 m. Find the height of the tank.

Answer»

Volume of the cylinder, V = πr²h = 616

Diameter of the tank = 5.6 m

Thus its radius, r =d/2 =5.6/2 = 2.8 m

Height = h (say)

∴ πr²h = 616

22/7 × 2.8 × 2.8 × h = 616

h = \(\frac {616\times7}{22\times2.8\times2.8}\) = 25

∴ Height = 25 m