Question

Find the volume of this object.Use 3 for T.Volume of a CylinderV=Tr2hVolume of a Cone-V=7r2hArah5cm3(14cmV ~ [?]cm3bcm

Answer 1

We want to find the volume of the object below

The object is made up of a cone and a cylinder.

So volume of the object becomes

`\text{volume of cone + volume of cylinder }`

Volume of the cone

`\begin{gathered} \text{The cone and cylinder have a diameter of 6} \\ \text{radius }=(diameter)/(2)=(6)/(2)=3 \\ \text{volume of cone = }(\pi r^2h)/(3) \\ \text{height of the cone h = 5, } \\ \text{volume of cone = }(3*3^2*5)/(3) \\ =9*5 \\ 45cm^3 \end{gathered}`

Voluem of the cylinder becomes

`\begin{gathered} \text{volume = }\pi r^2h \\ \text{height of the cylinder h = 14 cm } \\ \text{volume = 3}*3^2*14 \\ =3*9*14 \\ =378cm^3 \end{gathered}`

Volume of the object becomes