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The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square-example-1

2 Answers

6 votes

Answer:

Not an answer

Explanation:

User Justin MacLeod
by
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9 votes

Answer:

16.69 cm³

Explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

User Thechargedneutron
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