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3 years ago

Which case would be the most appropriate

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

Case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula :<u> V = πr²h</u> , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

r = 20/2

r = 10 cm

so, volume is V = πr²h = (3.14)*(10)²*30 = 9420 cm³

In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

so, radius ( r ) is calculated as d/2

r = 40/2

r = 20 cm

so, volume is V = πr²h = (3.14)*(20)²*30 = 37680 cm³

In case (c) Given height is 250mm ( 25 cm ) and diameter is 32 cm

so, radius ( r ) is calculated as d/2

r = 32/2

r = 16 cm

so, volume is V = πr²h = (3.14)*(16)²*25 = 20096 cm³

Hence, the case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

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