Question

Find the volume of this object.Use 3 for T.Volume of a ConeV=7tr2h3Volume of aRectangular PrismV = lwh110inSinbin1]linV ~ [?]in38in

Answer 1

`\text{Volume of the object = 154 in}^3`Step-by-step explanation:

The figure comprise of a cone and a rectangular prism. To find the volume, we will find the volume of the cone and volume of the rectangular prism. Then we will sum the results.

`\text{Volume of a cone = }(1)/(3)*\pi r^(2)h`

height = 10 in

diameter = 6 in

radius = diameter/2 = 6/2

radius = 3 in

π = 3

`\begin{gathered} \text{Volume of the cone = }(1)/(3)*3*3^2*10 \\ \text{Volume of the cone = 9}0in^3 \end{gathered}`
`\begin{gathered} \text{Volume of a rectangular prism = length }*\text{ width }*\text{ height} \\ V\text{ = lwh} \end{gathered}`

Length = 8 in

width = 8 in

height = 1 in

`\begin{gathered} \text{Volume of the rectangular prism = 8 }*\text{ 8 }*\text{ 1} \\ \text{Volume of the rectangular prism = 64 in}^3 \end{gathered}`
`\begin{gathered} \text{Volume of the object = Volume of the cone + volume of the rectagular prism} \\ \text{Volume of the object = 90 + 64} \\ \text{Volume of the object = 154 in}^3 \end{gathered}`