Question

It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill a circular inflatable pool 13 feet in diameter and 3 feet deep

Answer 1

Answer:

It will take ≈ 8.27 hours to fill the circular inflatable pool using the garden hose

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Time it takes your garden hose to fill a 2-gallon watering can = 20 seconds

Circular inflatable pool size = 13 feet in diameter and 3 feet deep

2. How long will it take to fill a circular inflatable pool?

A. For answering the question, the first step is to calculate the volume of the inflatable pool, this way:

Diameter = 13 feet ⇒ Radius = 6.5 feet

Height = 3 feet

Volume of the inflatable pool = π * r² * h

Replacing with the real values, we have:

Volume of the inflatable pool = 3.1416 * 6.5² * 3

Volume of the inflatable pool = 398.2 feet³

B. Now we need to calculate how much water in gallons the inflatable pool will hold, this way:

Volume of the inflatable pool in gallons = Volume of the inflatable pool in cubic feet * 7.48

Replacing with the real values, we have:

Volume of the inflatable pool in gallons = 398.2 * 7.48

Volume of the inflatable pool in gallons = 2,978.54

C. Finally, we need to calculate the time it will take to fill the pool using the garden hose, this way:

Time it takes your garden hose to fill a 2-gallon watering can = 20 seconds

Simplifying, we have:

Time it takes your garden hose to fill a 1-gallon watering can = 10 seconds

Time it will take to fill the pool with the garden hose = Volume of the inflatable pool in gallons * 10

Replacing with the real values, we have:

Time it will take to fill the pool with the garden hose = 2,978.54 * 10

Time it will take to fill the pool with the garden hose = 29,785.4 seconds or 8.27 hours

It will take ≈ 8.27 hours to fill the circular inflatable pool using the garden hose

Answer 2

Answer:

Step-by-step explanation:

Your circular inflatable pool is cylindrical in shape.

Diameter of the pool = 13 feet

Radius = diameter/2

radius of the pool = 13/2 = 6.5 feet

Depth of the pool = 3 feet.

The formula for determining the volume if a cylinder is expressed as

Volume = πr^2 h

Volume of the pool = 3.14 × 6.5^2 × 3 = 397.995 ft^3

1 cubic foot = 7.481 liquid us gallons.

397.995 ft^3 = 397.995 × 7.481 = 2977.4 gallons.

It takes your garden hose 20 seconds to fill your 2-gallon watering can. Therefore, the number of the seconds it will take to fill 2977.4 gallons inflatable pool would be

(2977.4 × 2)/20 = 297.74 seconds