Question

Find the volume of this object.Use 3 for π.Volume of a CylinderV= πr²h4 ft9 ft5 ft5 ft5 ftVolume of aRectangular PrismV = whV ≈ [?]ft³Enter

Answer 1

Mathematics → Solid Figures → Volume

The volume of a cylinder is:

`V=\pi r^2h`

In this question,

r = 2 ft (4/2 =2)

h = 5 ft

Then, the volume of the cylinder is (Vc):

`\begin{gathered} Vc=\pi *2^2*5 \\ Vc=\pi *4*5 \\ Vc=20\pi \end{gathered}`

Using π = 3:

`\begin{gathered} Vc=3*20 \\ Vc=60ft^3 \end{gathered}`

The volume of a rectangular prism (Vr) is:

`Vr=lwh`

In this question:

l = 9 ft

w = 5 ft

h = 5 ft

Then, the volume of the rectangular prism is:

`\begin{gathered} V=9*5*5 \\ V=225ft^3 \end{gathered}`

The volume of the object (V) is the sum of the volumes:

`\begin{gathered} V=Vc+Vr \\ V=60+225 \\ V=285ft^3 \end{gathered}`

Answer: 285 ft³.