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find the capacity in litres of a cylindrical well
radius 100cm, and depth 1400cm
of


Sagot :

Answer:

43982.30 Litres

Step-by-step explanation:

Given:

  • radius = 100 cm
  • depth/height = 1400 cm

What is a cylinder?

A cylinder is a solid object with two identical two flat base. while cylindrical means like a cylinder.

The formula for the capacity/volume of a cylinder

[tex]V= \pi r^{2} h[/tex]

Where:

  • V represents the capacity
  • [tex]\pi[/tex] pronounced as pi is the ratio of the circumference of a circle to its diameter
  • r represents the radius
  • height represents the depth

Plugging the values into the formula

[tex]V= \pi ( \text{100 cm})^{2} \times \text{1400 cm}[/tex]

[tex]V= \pi ( \text{10000 cm$^2$}) \times \text{1400 cm}[/tex]

[tex]V= \pi ( \text{14,000,000 cm$^3$})[/tex]

[tex]V= \pi ( \text{14,000 l$})[/tex]

[tex]V\approx43982.30l\: [\text{to 2 d.p}][/tex]

Therefore, the capacity of the cylindrical well is approximately 43982.30 Litres

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