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 cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder?

Answer 1

vcylinder-vcone=vair

vcylinder=hpir^2
vcone=(1/3)hpir^2




vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi

vylinder-cone=400pi-64pi=336pi

volume is 336pi cubic centimeters or aprox 1055.5 cubic cm