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Rudik [331]
3 years ago
8

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. An oblique cylinder has a diam

eter of 14 units. The volume of the cylinder is 1,176 pi cubic units. What is x, the height of the cylinder? 21 units 24 units 25 units 28 units
Mathematics
2 answers:
Talja [164]3 years ago
6 0

Answer:

B) 24

Step-by-step explanation:

frozen [14]3 years ago
3 0

Answer: The height of the cylinder is 24 units.

Step-by-step-explanation: The volume of a cylinder is calculated as

Volume = Pi x r^2 x h

Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;

1176 Pi = Pi x 7^2 x h

1176 Pi = Pi x 49 x h

By cross multiplication we now have

(1176 Pi)/49 Pi = h

1176/49 = h

24 = h

Therefore the height of the cylinder is 24 units.

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