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A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.

what is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?
use 3.14 for pi
__cm

User Dharini
by
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2 Answers

5 votes
a cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
what is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?
use 3.14 for pi
310 cm
User Jgraup
by
8.4k points
3 votes

Answer:

297cm

Explanation:

Volume of the cylinder = 1/3πr²h

Given the volume when full = 471cm³

Radius when full = 5cm

To get the height of the water in the full cylinder , we will substitute this values in the formula for calculatinf the volume of the cylinder.

471 = 1/3 × π(5)² × h

471 = 25(3.14)h/3

471×3 = 78.5h

h = 18cm

If the cylinder currently contains 314cm of water.

The difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder = 314-18

= 297cm

User Trs
by
8.2k points
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