Question

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 shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3cylinder as

Answer 1

V = Vcyl - Vcone
V = base×height - 1/3base×height
V = (pi×5^2)(16) - 1/3(pi×4^2)(12)
V = 1256 - 200.96
V = 1055.04 cubic cm.