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.

73.2 cm³

Step-by-step explanation:

The volume of the cylinder without the prism is V" = volume of cylinder, V' - volume of rectangular prism, V

Volume of cylinder = πr²h where r = radius of cylinder = 2 cm and h = height of cylinder = 6 cm.

So, V = πr²h

= π(2 cm)²(6 cm)

= π × 4 cm² × 6 cm

= 24π cm³

= 75.4 cm³

V = volume of rectangular prism = Area of 0.6 cm square × height = L²h where L = 0.6 cm and h = height of rectangular prism = 6 cm.

So, V = L²h = (0.6 cm)² × 6 cm = 2.16 cm³

volume of the cylinder without the prism is V" = V' - V

= 75.4 cm³ - 2.16 cm³

= 73.24 cm³

≅  73.2 cm³

a

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a

3

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