The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]
Question 1 Report
The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]
Answer Details
The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius and h is the height of the cylinder.
In this question, we are given that the height of the cylindrical tank is 10m and its volume is 385 m². Therefore, we can find the radius of the cylinder as follows:
385 = πr² × 10
r² = 38.5/π
r = √(38.5/π) = 3.5m (approximately)
Finally, we can find the diameter of the cylinder by doubling the radius:
Diameter = 2r = 2 × 3.5 = 7m
Therefore, the diameter of the tank is 7m.
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