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18699Find the volume of this object.Use 3 for TT.Volume of a CylinderV= πr²hVolume of a Cone15cmV= πr²h314cm

18699Find The Volume Of This ObjectUse 3 For TTVolume Of A CylinderV ΠrhVolume Of A Cone15cmV Πrh314cm class=

Sagot :

Step 1

The shape is made up of a cylinder and a cone

[tex]\begin{gathered} V=\pi r^2h---volume\text{ of cylinder} \\ V=\frac{\pi r^2h}{3}--\text{ volume of cone} \\ \pi=3 \\ r=3cm \end{gathered}[/tex]

Step 2

Find the volume of the cylinder

[tex]V_1=3\times3^2\times14[/tex][tex]V_1=378cm^3[/tex]

Find the area of the cone

[tex]V_2=\frac{3\times3^2\times5}{3}=45cm^3[/tex]

The volume of the object will be;

[tex]V=45+378=423cm^3[/tex]

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