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? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3 NextReset

Answer 1

The volume of air surrounding the cone and inside the cylinder will be the difference of the volume of cylinder and the cone. 

So,

Volume of air = Volume of cylinder - Volume of cone

$= \pi r^{2}h- \frac{1}{3} \pi r^{2}h \\ \\ =3.14(5)^{2}(16)- \frac{1}{3}(3.14) (4)^{2}(12) \\ \\ =1055.04$

Thus, the volume of the air surrounding the cone and inside the cylinder will be 1055.04 cubic centimeter

Answer 2

volume of air = volume of cylinder - volume of cone

cylinder = pi * r * r * h
cone  = pi * r * r * h/3

substitute the values;
The volume of air is equal to 1055.05cu.cm