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

Answer 1

then find the volume not used

find volume of each and subtract the volume of cone from volume of cylinder

volume of cylnder=hpir^2
volume of cone=(1/3)hpir^2

cylinderh=16
r=5
V=16*pi*5^2
V=16*pi*25
V=400pi


cone
h=12
r=4
V=1/3(12)pi(4^2)
V=4pi16
V=64pi


cylinder-cone=400pi-64pi=336pi


the volume of enpty space is 336pi cm^3 or aprox 1055.04 cm^3