Question

Find the volume of this object.Use 3 for T.Volume of a CylinderV=Tir2h6 in8 in10 in] 2 in V ~ [?]in3

Answer 1

Given:

Two cylinders on each other;

`\begin{gathered} \text{For the cylinder at the top, the following were given;} \\ d=6in \\ \text{radius is half of a diameter,} \\ \text{Hence,} \\ r=(d)/(2)=(6)/(2) \\ r=3in \\ h=8in \\ \pi=3 \end{gathered}`

Using the formula of the volume of a cylinder;

`\begin{gathered} V=\pi r^2h \\ V=3*3^2*8 \\ V=216in^3 \end{gathered}`

For the cylinder at the bottom, the following were given;

`\begin{gathered} \\ d=10in \\ \text{radius is half of a diameter,} \\ \text{Hence,} \\ r=(d)/(2)=(10)/(2) \\ r=5in \\ h=2in \\ \pi=3 \end{gathered}`

Using the formula of the volume of a cylinder;

`\begin{gathered} V=\pi r^2h \\ V=3*5^2*2 \\ V=150in^3 \end{gathered}`

Hence, the volume of the object is the total volume of both cylinders.

Therefore, the volume of the object is 366 cubic inches.