Question #302525

The sidewall of a cylindrical tank of radius 30 cm and height of 1 m should be lined with a 4 cm thick layer of concrete.


The sidewall of a cylindrical tank of radius 30 cm and height of 1 m should be lined with a 4 cm thick layer of concrete.


Calculate the volume of the cylinder

Answer: What is approximately the amount of concrete required?


1
Expert's answer
2022-02-27T12:05:33-0500

Volume of the tank: V1=πr2h=π0.321=0.09π  m3.V_1=\pi r^2h=\pi*0.3^2*1=0.09\pi \;m^3.

Volume of the tank with concrete: V2=π(r+0.04)2h=π0.3421=0.1156π  m3V_2=\pi (r+0.04)^2h=\pi*0.34^2*1=0.1156\pi\;m^3 .

Volume of the concrete: V=V2V1=0.1156π0.09π=0.0256π  m30.08  m3.V=V_2-V_1=0.1156\pi-0.09\pi=0.0256\pi\;m^3\approx 0.08\;m^3.


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