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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.

업데이트 검증한 예제: 5

A garden hose gives roughly 20–40 L/min (5–10 gal/min).
ppm
시도하기
Water volume
L
Water volume: 75,000 L
최대 소수 자릿수: 1; 가장 가까운 값, 중간값은 0에서 먼 쪽으로
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
계산 방법 S

  1. 부피

    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.

Pool volume and tank capacity calculator 소개

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.

계산 예제

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

Shape
Rectangular pool
길이
10 m
너비
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

검증 출처: 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
지름
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

검증 출처: 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)
지름
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

검증 출처: 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
길이
30 ft
너비
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

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

자주 묻는 질문

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.

“Pool volume and tank capacity calculator”의 정확도는 어느 정도인가요?

정확도는 입력값과 계산 방법의 가정에 따라 달라집니다. 십진 연산은 유효숫자 50자리를 사용하지만, 추정값·수치해석 방법·원본 데이터의 정밀도는 더 낮을 수 있습니다. 표시값을 반올림해도 이러한 한계는 사라지지 않습니다. 독립적인 출처의 풀이와 대조한 계산 예시: 5. 예를 들어 “10 × 5 m pool, 1 m to 2 m deep, +2 ppm with 12.5% liquid”은 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 L와 대조해 확인합니다.

이 계산 방법의 출처는 무엇인가요?

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).

이 계산기 소개

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}

출처

  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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