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.)

Question

Mathematics

Tristen

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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Demarcus Price · Answer 1

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