Pool volume and tank capacity calculator

Pool volume in gallons, litres and m³ for rectangular, round or oval pools and water tanks, with fill time and the chlorine dose to raise ppm.

Cập nhật Ví dụ đã kiểm tra: 5

A garden hose gives roughly 20–40 L/min (5–10 gal/min).
ppm
Thử
Water volume
L
Water volume: 75,000 L
Số chữ số thập phân tối đa: 1; Gần nhất; nếu cách đều thì ra xa số không
Water volume
19,812.9US gal / 75m³
Time to fill
1 d 17 h 40 min
Liquid chlorine to add
1.2L / 40.58US fl oz
The average of the two ends assumes the floor slopes evenly; a pool with a hopper or steps holds a little less.

It holds 75,000 L (19,813 US gal) and fills in about 1 d 17 h 40 min at 30 L/min. Raising chlorine by 2 ppm takes 1.2 L of liquid chlorine 12.5%.

Side section (sloping floor)

10 m1 m2 m
Cách tính S
  1. Thể tích

    10×5×1+22=75 m310 \times 5 \times \frac{1 + 2}{2} = 75\ \text{m}^3
  2. Litres and gallons

    75 m3=75,000 L=19,812.903927 US gal75\ \text{m}^3 = 75{,}000\ \text{L} = 19{,}812.903927\ \text{US gal}
  3. Fill time

    75,000 L30 L/min=2,500 min\frac{75{,}000\ \text{L}}{30\ \text{L/min}} = 2{,}500\ \text{min}

    1 d 17 h 40 min

  4. Chlorine dose

    2 mg/L×75,000 L=150 g÷125 g/L=1.2 L2\ \text{mg/L} \times 75{,}000\ \text{L} = 150\ \text{g} \div 125\ \text{g/L} = 1.2\ \text{L}

    Liquid strength is the trade percentage: 12.5% means 125 g of available chlorine per litre.

Giới thiệu Pool volume and tank capacity calculator

Volume is the water's surface area times its depth: length × width × average depth for a rectangular pool with a sloping floor, π × radius² × depth for a round pool or upright tank, and π/4 × length × width × depth for an oval. The result is given in litres, US gallons and cubic metres, and the fill time is the volume divided by the flow rate.

The default 10 × 5 m pool, 1 m deep at one end and 2 m at the other, holds 75,000 L (19,813 US gallons) and takes about 42 hours to fill at 30 L/min. Raising its free chlorine by 2 ppm needs 150 g of available chlorine, which is 1.2 L of 12.5% liquid.

One ppm is 1 mg of available chlorine per litre, and the product amount is that mass divided by its strength. Liquid strength is read as trade percent, grams per 100 mL, so 12.5% liquid carries 125 g per litre.

Ví dụ có lời giải

10 × 5 m pool, 1 m to 2 m deep, +2 ppm with 12.5% liquid

Shape
Rectangular pool
Chiều dài
10 m
Chiều rộng
5 m
Shallow end depth
1 m
Deep end depth
2 m
Fill rate
30 L/min
Raise free chlorine by
2 ppm
Chlorine product
Liquid chlorine 12.5%
Water volume
75,000 L
Water volume
19,812.9 US gal
Time to fill
1 d 17 h 40 min
Liquid chlorine to add
1.2 L
Liquid chlorine to add
40.58 US fl oz

Nguồn đối chiếu: Python decimal: 10 × 5 × 1.5 = 75 m³; 75,000 L ÷ 30 L/min = 2,500 min; 2 mg/L × 75,000 L = 150 g ÷ 125 g/L = 1.2 L

24 ft round pool, 4 ft deep, 9 gal/min hose, +1 ppm cal-hypo 65%

Shape
Round pool
Đường kính
24 ft
Water depth
4 ft
Fill rate
9 gal/min
Raise free chlorine by
1 ppm
Chlorine product
Cal-hypo 65% (granular)
Water volume
13,536.4 US gal
Time to fill
1 d 1 h 4 min 2 s
Chlorine product to add
78.8 g
Chlorine product to add
2.78 oz

Nguồn đối chiếu: Python decimal: π × 12² × 4 ft³ = 13,536 US gal; 51,241 g ÷ 1000 ÷ 0.65 = 78.8 g (Clean Pool Math: 2.1 oz per 10,000 gal·ppm → 2.8 oz)

Upright tank 1 m across, 1.2 m of water, 10 L/min

Shape
Cylindrical tank (upright)
Đường kính
1 m
Water depth
1.2 m
Fill rate
10 L/min
Raise free chlorine by
0 ppm
Chlorine product
Liquid chlorine 12.5%
Water volume
942.5 L
Time to fill
1 h 34 min 14 s
Liquid chlorine to add
0 L

Nguồn đối chiếu: Python decimal: π × 0.5² × 1.2 = 0.942478 m³; 942.48 L ÷ 10 L/min = 94.25 min

30 × 15 ft oval, 4 ft deep, +3 ppm with 10% liquid

Shape
Oval pool
Chiều dài
30 ft
Chiều rộng
15 ft
Water depth
4 ft
Fill rate
30 L/min
Raise free chlorine by
3 ppm
Chlorine product
Liquid chlorine 10%
Water volume
10,575.3 US gal
Liquid chlorine to add
1.201 L

Nguồn đối chiếu: Python decimal: π/4 × 30 × 15 × 4 = 1,413.7 ft³ = 10,575 gal (industry shortcut L × W × D × 5.9 gives 10,620)

Câu hỏi

How do you calculate pool volume in gallons?

Multiply length × width × average depth in feet to get cubic feet, then multiply by 7.48, the number of US gallons in a cubic foot (1,728 ÷ 231 cubic inches). A 30 × 15 ft pool averaging 5 ft deep holds 2,250 ft³, or 16,831 gallons. For a round pool use π × radius² × depth: 24 ft across and 4 ft deep holds 13,536 gallons.

How many litres of water are in a pool?

Multiply length × width × average depth in metres, then by 1,000, since a cubic metre holds 1,000 litres. A 10 × 5 m pool sloping from 1 m to 2 m has an average depth of 1.5 m, so it holds 75 m³, or 75,000 L. A round pool 5 m across with 1.2 m of water holds π × 2.5² × 1.2 = 23.6 m³, or 23,562 L.

How do you find the volume of an oval pool?

Multiply length × width × depth by π/4, about 0.785, because an ellipse covers π/4 of the rectangle around it. A 30 × 15 ft oval with 4 ft of water holds 1,413.7 ft³, or 10,575 US gallons. The common shortcut of length × width × depth × 5.9 gives 10,620 gallons, because 5.9 rounds up 0.785 × 7.48 = 5.875.

How much chlorine raises a pool by 1 ppm?

One ppm needs 1 mg of available chlorine per litre, so 10,000 US gallons (37,854 L) needs 37.9 g: about 10.2 fl oz of 12.5% liquid, 12.8 fl oz of 10% liquid or 2.1 oz of 65% cal-hypo. The CDC advises keeping free chlorine at 1 ppm or more in pools and 3 ppm or more in hot tubs, with pH between 7.0 and 7.8.

How long does it take to fill a pool with a hose?

Divide the volume by the flow rate. At 30 L/min the default 75,000 L pool takes 2,500 minutes, about 41 h 40 min, and at 9 US gallons a minute a 13,536-gallon round pool takes about 25 hours. To find your own flow rate, time how long the hose takes to fill a bucket of known size and divide the volume by the minutes.

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Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 5. Ví dụ, “10 × 5 m pool, 1 m to 2 m deep, +2 ppm with 12.5% liquid” được kiểm tra bằng Python decimal: 10 × 5 × 1.5 = 75 m³; 75,000 L ÷ 30 L/min = 2,500 min; 2 mg/L × 75,000 L = 150 g ÷ 125 g/L = 1.2 L.

Phương pháp này lấy từ đâu?

Clean Pool Math — chlorine per 10,000 gal per 1 ppm: 13 fl oz of 10% liquid, 2.1 oz of 65% cal-hypo, 2.4 oz of 56% dichlor; PHTA — Sodium hypochlorite (liquid chlorine) fact sheet; CDC — Operating public pools, hot tubs and splash pads (free chlorine and pH levels).

Về công cụ tính này

Vrect=ℓwd1+d22, Vround=πr2d, Voval=π4ℓwd,mCl=ppm×VL mgV_{\text{rect}} = \ell w \tfrac{d_1 + d_2}{2},\ V_{\text{round}} = \pi r^2 d,\ V_{\text{oval}} = \tfrac{\pi}{4}\ell w d,\qquad m_{\text{Cl}} = \text{ppm} \times V_{\text{L}}\ \text{mg}

Nguồn

  1. Clean Pool Math — chlorine per 10,000 gal per 1 ppm: 13 fl oz of 10% liquid, 2.1 oz of 65% cal-hypo, 2.4 oz of 56% dichlor
  2. PHTA — Sodium hypochlorite (liquid chlorine) fact sheet
  3. CDC — Operating public pools, hot tubs and splash pads (free chlorine and pH levels)

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