Answer : The volume of the swimming pool is, [tex]142ft^3[/tex]
Step-by-step explanation :
In the given figure, there are two figures are included which are cuboid and 2 hemisphere.
As we know that 2 hemisphere combine to form a sphere.
Volume of swimming pool = Volume of cuboid + Volume 2 hemisphere
Volume of swimming pool = Volume of cuboid + Volume sphere
Volume of swimming pool = [tex](l\times b\times h)+(\frac{4}{3}\pi r^3)[/tex]
where,
l = length of cuboid = 6 ft
b = breadth of cuboid = 4 ft
h = height of cuboid = 4.5 ft
r = radius of sphere = [tex]\frac{Diameter}{2}=\frac{4ft}{2}=2ft[/tex]
Now put all the given values in the above formula, we get:
Volume of swimming pool = [tex](l\times b\times h)+(\frac{4}{3}\pi r^3)[/tex]
Volume of swimming pool = [tex](6ft\times 4ft\times 4.5ft)+(\frac{4}{3}\times 3.14\times (2ft)^3)[/tex]
Volume of swimming pool = [tex]108ft^3+33.49ft^3[/tex]
Volume of swimming pool = [tex]141.49ft^3[/tex]
Volume of swimming pool ≈ [tex]142ft^3[/tex]
Therefore, the volume of the swimming pool is, [tex]142ft^3[/tex]
