A cylinder drum with an open top and a height of 90cm is filled to the top with 210L of water. What is the remaining volume of water when the drum is tilted 10 degrees with the vertical?
Remembering that 210L is 210,000 cm^2, and working entirely
in cm units:<o:p></o:p>
V=210000<o:p></o:p>
Area of drum, A=210000/90<o:p></o:p>
Diameter of cylinder, D = sqrt(4*A/pi)<o:p></o:p>
Volume spilled then is 0.5*A*D*tan(10) cm^2, divided by 1000
= 11.213L<o:p></o:p>
Remaining volume = 210-11.213=198.787L
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Posted by Kenny M
on 2020-06-13 20:41:23 |
Solution
