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
