Answer :
Answer:
[tex]\text{Volume of water in pool}=942\text{ ft}^3[/tex]
Step-by-step explanation:
We have been given that a cylindrical backyard pool 3 feet high and 20 feet in diameter. We are asked to find the volume of water in pool.
We will use volume of cylinder formula to solve our given problem as:
[tex]\text{Volume}=\pi r^2 h[/tex], where,
r = Radius of cylinder,
h = Height
We know that radius is half the diameter, so radius of cylinder would be [tex]\frac{20}{2}=10[/tex] feet.
[tex]\text{Volume of water in pool}=3.14\times (\text{10 ft})^2 \times 3\text{ ft}[/tex]
[tex]\text{Volume of water in pool}=3.14\times100\text{ ft}^2 \times 3\text{ ft}[/tex]
[tex]\text{Volume of water in pool}=314\times 3\text{ ft}^3[/tex]
[tex]\text{Volume of water in pool}=942\text{ ft}^3[/tex]
Therefore, the pool holds 942 cubic feet of water.