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

Question

yuradex [85]

3 years ago

6

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?

Mathematics

1 answer:

Ede4ka [16] · Answer 1 · 2022-05-05T06:34:20+03:00

Ede4ka [16]3 years ago

5 0

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