To solve this, we need to compute the volume of both the pail and the kiddie pool and then determine how many pails of water are needed to fill at least 80% of the kiddie pool's capacity.

Step 1: Calculate the volume of the pail

The pail is a cylinder, and the formula for the volume of a cylinder is: $V_{\text{cylinder}} = \pi r^2 h$ where:

• $r = 15 \, \text{cm}$ (radius of the pail),
• $h = 40 \, \text{cm}$ (height of the pail).

Thus, the volume of the pail is: $V_{\text{pail}} = \pi (15)^2 (40) = \pi (225) (40) = 9000\pi \, \text{cm}^3 \approx 28,274.33 \, \text{cm}^3.$

Step 2: Calculate the volume of the kiddie pool

The kiddie pool is also a cylinder, so we use the same volume formula: $V_{\text{pool}} = \pi r^2 h$ where:

• $r = \frac{140}{2} = 70 \, \text{cm}$ (radius of the pool),
• $h = 80 \, \text{cm}$ (height of the pool).

Thus, the volume of the kiddie pool is: $V_{\text{pool}} = \pi (70)^2 (80) = \pi (4900) (80) = 392000\pi \, \text{cm}^3 \approx 1,231,504.32 \, \text{cm}^3.$

Step 3: Find 80% of the pool's volume

To find 80% of the kiddie pool's volume, we calculate: $0.8 \times 1,231,504.32 \, \text{cm}^3 \approx 985,203.46 \, \text{cm}^3.$

Step 4: Determine the number of pails required

Now, divide the required volume (80% of the pool) by the volume of the pail: $\text{Number of pails} = \frac{985,203.46}{28,274.33} \approx 34.84.$

Since Lito can't use a fraction of a pail, they will need 35 full pails to fill at least 80% of the kiddie pool.

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. How many pails would be needed to fill the kiddie pool completely?
2. What is the volume of water in liters if the pool is 100% full?
3. How would the number of pails change if the height of the pool was reduced by 20 cm?
4. What if the radius of the pail was increased to 20 cm, how would that affect the number of pails?
5. How much time would it take to fill the pool if each pail takes 2 minutes to fill and empty?

Tip: To convert cubic centimeters to liters, divide by 1,000 since 1 liter = 1,000 cm³.