Answer : The volume of the swimming pool is,
![142ft^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yvnyzf5xnlsfoap3n6uzsfdprb9jaonpsx.png)
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 =
![(l* b* h)+((4)/(3)\pi r^3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tq3yjvlhw4mn48ezwd7mplx0mfm9qjrjx7.png)
where,
l = length of cuboid = 6 ft
b = breadth of cuboid = 4 ft
h = height of cuboid = 4.5 ft
r = radius of sphere =
![(Diameter)/(2)=(4ft)/(2)=2ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lvwns626sn2wgyiyykkpfmqhawhv6jq2st.png)
Now put all the given values in the above formula, we get:
Volume of swimming pool =
![(l* b* h)+((4)/(3)\pi r^3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tq3yjvlhw4mn48ezwd7mplx0mfm9qjrjx7.png)
Volume of swimming pool =
![(6ft* 4ft* 4.5ft)+((4)/(3)* 3.14* (2ft)^3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gb15rl0ilawur79gplw7ltdoni9iaerkwc.png)
Volume of swimming pool =
![108ft^3+33.49ft^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9vj0tpn9azoxep7kkdqcqt2d77g9fkh8ep.png)
Volume of swimming pool =
![141.49ft^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/izixygfyppvcgo2u9k5u0gda3h8ndjp20b.png)
Volume of swimming pool ≈
![142ft^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yvnyzf5xnlsfoap3n6uzsfdprb9jaonpsx.png)
Therefore, the volume of the swimming pool is,
![142ft^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yvnyzf5xnlsfoap3n6uzsfdprb9jaonpsx.png)