A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?

Think about the accompanying graph

Ncert solutions class 10 chapter 13-21
Ncert solutions class 10 chapter 13-22

Volume of water that streams in t minutes from pipe \[=\text{ }t\times 0.5\pi \text{ }m^3\]

Volume of water that streams in t minutes from pipe = \[t\times 0.5\pi \text{ }m^3\]

Range $(r_2)$ of round finish of barrel shaped tank \[=10/2\text{ }=\text{ }5\text{ }m\]

Profundity $(h_2)$ of round and hollow tank = 2 m

Leave the tank alone filled totally in t minutes.

Volume of water filled in tank in t minutes is equivalent to the volume of water streamed in t minutes from the line.

Volume of water that streams in t minutes from pipe = Volume of water in tank

\[t\times 0.5\pi \text{ }=\text{ }\pi \times {r_{2}^{2}}\times h_2\]

t = 100 minutes