Question

How deep must a circular swimming pool be if its volume is 64 000 litres and its diameter is 8 m? If
the depth is x m, then
1. x =4 × 10^3/π

2. x =4 × 10^2/π

3. x =4 × 10/π

4. x =4/π

5. x =16/π

Answer 1

Answer:

Option 4 is the correct.

$x = \frac{4}{\pi} \: \: meter$

Step-by-step explanation:

Given that:

volume of the swimming pool = 64000 litres

diameter of swimming pool = 8m

To find: Depth of swimming pool x ?

We know that volume of circular pool is =

$\pi \: {r}^{2} x$

64000 litres= 64 cubic-meter

r = 4 m

$64 = \pi \times {4}^{2} \times x \\ \\ x = \frac{64}{16 \times \pi} \\ \\ x= \frac{4}{\pi} \: \: meter$

Option 4 is the correct one.

Hope it helps you.