We read your photo as:

A municipality supplies water to 108 households. 6 tanks are installed, each costing R4 950.00. The diameter of each tank is 260 cm. Calculate: 25.1.1 households per tank, 25.1.2 total cost of tanks,

Mathematics

ScanSolve AI Answer

Step-by-step solution

13 steps

25.1.1

  1. Identify the total number of households and tanks.

    Total households = 108
    Total tanks = 6

  2. Calculate how many households share one tank.

    Households per tank=Total householdsTotal tanks\text{Households per tank} = \frac{\text{Total households}}{\text{Total tanks}} Households per tank=1086\text{Households per tank} = \frac{108}{6} Households per tank=18\text{Households per tank} = 18

    Each tank is shared by 18 households\boxed{\text{18 households}}.

    25.1.2

  3. Identify the cost of one tank and the total number of tanks.

    Cost per tank = R4 950.00
    Number of tanks = 6

  4. Calculate the total cost for all tanks.

    Total cost=Cost per tank×Number of tanks\text{Total cost} = \text{Cost per tank} \times \text{Number of tanks} Total cost=R4950.00×6\text{Total cost} = \text{R}4950.00 \times 6 Total cost=R29700.00\text{Total cost} = \text{R}29700.00

    The municipality paid R29 700.00\boxed{\text{R29 700.00}} for the tanks.

    25.1.3

  5. Identify the diameter and calculate the radius.

    Diameter = 260 cm260 \text{ cm}
    Radius r=Diameter2=260 cm2=130 cmr = \frac{\text{Diameter}}{2} = \frac{260 \text{ cm}}{2} = 130 \text{ cm}

  6. Use the given formula for the area of the base and the value of π\pi.

    Area of base =πr2= \pi r^2
    π=3.142\pi = 3.142

  7. Substitute the values and calculate the area.

    Area=3.142×(130 cm)2\text{Area} = 3.142 \times (130 \text{ cm})^2 Area=3.142×16900 cm2\text{Area} = 3.142 \times 16900 \text{ cm}^2 Area=53109.8 cm2\text{Area} = 53109.8 \text{ cm}^2

    The area of the base of one tank is 53109.8 cm2\boxed{\text{53109.8 cm}^2}.

    25.1.4

  8. Identify the area of the base (from 25.1.3) and the height of the tank.

    Area of base =53109.8 cm2= 53109.8 \text{ cm}^2
    Height =418 cm= 418 \text{ cm}

  9. Use the given formula for the volume.

    Volume = Area ×\times height

  10. Calculate the volume in cm3^3.

    Volume=53109.8 cm2×418 cm\text{Volume} = 53109.8 \text{ cm}^2 \times 418 \text{ cm} Volume=22205892.4 cm3\text{Volume} = 22205892.4 \text{ cm}^3
  11. Convert the volume from cm3^3 to m3^3.

    Since 1 m=100 cm1 \text{ m} = 100 \text{ cm}, then 1 m3=(100 cm)3=1,000,000 cm31 \text{ m}^3 = (100 \text{ cm})^3 = 1,000,000 \text{ cm}^3.

    Volume in m3=22205892.4 cm31000000 cm3/m3\text{Volume in m}^3 = \frac{22205892.4 \text{ cm}^3}{1000000 \text{ cm}^3/\text{m}^3} Volume in m3=22.2058924 m3\text{Volume in m}^3 = 22.2058924 \text{ m}^3

    The volume of one tank is approximately 22.21 m3\boxed{\text{22.21 m}^3}.

    25.1.5

  12. Use the volume of one tank in m3^3 (from 25.1.4).

    Volume =22.2058924 m3= 22.2058924 \text{ m}^3

  13. Use the given conversion factor to convert m3^3 to litres.

    1 m3=1000 L1 \text{ m}^3 = 1000 \text{ L}

    Volume in litres=22.2058924 m3×1000 L/m3\text{Volume in litres} = 22.2058924 \text{ m}^3 \times 1000 \text{ L/m}^3 Volume in litres=22205.8924 L\text{Volume in litres} = 22205.8924 \text{ L}

    The tank will hold approximately 22205.89 L\boxed{\text{22205.89 L}} of water.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp