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.) 452.16 cm3
840.54 cm3
1,055.04 cm3
1,456.96 cm3
2 answers:
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
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 <span>Volume of air space = 1256 cm³ - 200.96 cm³ = </span>1,055.04 cm³
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