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27 March, 23:53

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)

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  1. 28 March, 00:50
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    Given:

    Cylinder: height = 16 cm; radius = 5 cm

    cone: height = 12 cm; radius = 4 cm

    Volume of cylinder = 3.14 * (5cm) ² * 16cm = 1,256 cm³

    Volume of cone = 3.14 * (4cm) ² * 12cm/3 = 200.96 cm³

    Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
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