Question

Choose the correct order when finding the space between the cylinder and cone.1.Find the difference of the volume2.find the volume of the cone3. find the volume of the cylinderA. 3,2 then 1B. 3,1 then 2C. 2,1 then 3D. 1,2 then 3

Answer 1

The formula for the volume of the cylinder is given as

$v=\pi r^2h$

*Here r is the radius

*Here h is the height

The formula for the volume of the cone is given as

$V=\frac{1}{3}\pi r^2h$

The difference of the volume is calculated as

$\begin{gathered} dV=v-V \\ =\pi r^2h-\frac{1}{3}\pi r^2h \\ =\pi r^2h(1-\frac{1}{3}) \\ =\pi r^2h\times(\frac{2}{3}) \end{gathered}$

Thus, the correct order is (A) i.e 3, 2,1