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Identify the circumference of the circle.
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7.1 If the 300 cm side of the rectangular tin plate is bent to form a circle, determine the diameter of the cylindrical tank. You may use the formula: Circumference of a circle = diameter; Using .
Identify the circumference of the circle.
When the 300 cm side of the rectangular tin plate is bent to form a circle, this length becomes the circumference () of the circle.
Use the given formula for the circumference of a circle.
Where is the diameter and .
Substitute the values and solve for the diameter ().
Rounding to two decimal places:
The diameter of the cylindrical tank is .
7.2 Calculate the volume of water that the cylindrical tank can hold in litres. You may use the formula: Volume of a cylindrical tank = height; Using and .
Determine the radius () and height () of the cylindrical tank.
From 7.1, the diameter () is approximately .
The radius () is half of the diameter:The height () of the cylindrical tank is the other dimension of the rectangular plate:
Calculate the volume of the cylindrical tank using the formula .
Using :
Convert the volume from cubic centimeters to litres.
Given .
Rounding to the nearest litre:
The volume of water the cylindrical tank can hold is approximately .
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