Circular pool

The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?

Correct answer:

x =  6102 hl

Step-by-step explanation:

r=10 m t=10 m h=2 m a=t/2=10/2=5 m  α=2 arcsin(ra)=2 arcsin(105)1.0472 rad α2=α  °=α π180   °=1.0472 π180   °=60  °  S1=π r2 2π2πα=3.1416 102 2 3.14162 3.14161.0472261.7994 m2  b=r2a2=10252=5 3 m8.6603 m  S2=2a b=25 8.660321.6506 m2  S=S1+2 S2=261.7994+2 21.6506305.1007 m2  V=h S=2 305.1007610.2013 m3  x=V hl=V 10  hl=610.2013 10  hl=6102 hl=6102 hl



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
See also our right triangle calculator.
Do you know the volume and unit volume, and want to convert volume units?
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: