Question #136607
b. A rectangular water tank has dimensions of 2.0 m x 1.0 m x 1.0 m. What would be the diameter of a 1.50-m high cylinder tank to contain the same amount of water that the rectangular tank contains
1
Expert's answer
2020-10-05T10:54:08-0400

The volume of a rectangular water tank

V=a×b×cV=a\times b\times c

The volume of a cylinder water tank

V=πR2hV=\pi R^2h

Hence, the high of cylinder tank

h=abcπR2=2.0×1.0×1.03.14×(1.50/2)2=1.13mh=\frac{abc}{\pi R^2}=\rm \frac{2.0\times 1.0\times 1.0}{3.14\times (1.50/2)^2}=1.13\: m

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