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

Respuesta :

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

Answer:

297cm

Step-by-step 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