Question

Water is poured from a full right circular cylinder of height 3 ft and radius 2 ft into a rectangular tank whose base dimensions are 7 ft by 1 ft. Approximately, to what height, in feet, will the water rise (assume no overflow)?

• A. 5.49
• B. 5.39
• C. 5.34
• D. 5.29
• E. 5.24

Answer 1

Answer: (B)

5.39

• Volume of cylinder is $\pi \times 2^2\times 3=12\pi$
• Volume of rectangular tank is $7\times 1\times h=7h$ ($h$ is height)
• Given that both volumes are equal , we get $7h=12\pi$
• Which gives $h=12\pi /7=5.39$