A can is 15 centimeters tall and has a diameter of 7.5 centimeters. It fits into a rubberized cylindrical holder that is 13.5 centimeters tall, including 1 centimeter, which is the thickness of the base of the holder. The empty space used to keep the can has a radius of 3 cm and the thickness of the rim of the holder is 1 centimeter. What is the volume of the rubberized material that makes up the holder?

Question

Mathematics

Hadassah Wu

7 March, 01:06

A can is 15 centimeters tall and has a diameter of 7.5 centimeters. It fits into a rubberized cylindrical holder that is 13.5 centimeters tall, including 1 centimeter, which is the thickness of the base of the holder. The empty space used to keep the can has a radius of 3 cm and the thickness of the rim of the holder is 1 centimeter. What is the volume of the rubberized material that makes up the holder?

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Answers (1)

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Gracelyn Roth · Answer 1

324.99 cm³

Step-by-step explanation:

Total volume - inside volume

[pi * (3+1) ² * (13.5) ] - [pi * 3² * (13.5-1) ]

216pi - 112.5pi

110.5pi

103.5 * 3.14

324.99 cm³