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The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?
Answer & Solution
Correct Answer:
Option
D
Volume of the tank = 246.4 litres = 246400 cm3
Let the radius of the base be r cm
Then,
$$\eqalign{ & \left( {\frac{{22}}{7} \times {r^2} \times 400} \right) = 246400 \cr & \Rightarrow {r^2} = \left( {\frac{{246400 \times 7}}{{22 \times 400}}} \right) \cr & \Rightarrow {r^2} = 196 \cr & \Rightarrow r = 14 \cr} $$
∴ Diameter of the base = 2r = 28 cm
Let the radius of the base be r cm
Then,
$$\eqalign{ & \left( {\frac{{22}}{7} \times {r^2} \times 400} \right) = 246400 \cr & \Rightarrow {r^2} = \left( {\frac{{246400 \times 7}}{{22 \times 400}}} \right) \cr & \Rightarrow {r^2} = 196 \cr & \Rightarrow r = 14 \cr} $$
∴ Diameter of the base = 2r = 28 cm
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