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Find the volume of this object.Use 3 for π.Volume of a CylinderV= πr²h6 in8 in12 in V[?]in³310 in

Find The Volume Of This ObjectUse 3 For ΠVolume Of A CylinderV Πrh6 In8 In12 In Vin310 In class=

Sagot :

ANSWER

V = 366 in³

EXPLANATION

This object is composed of two cylinders. The total volume of the object is the sum of the volumes of the cylinders.

As stated in the problem, the volume of a cylinder is given by,

[tex]V=\pi r^2h[/tex]

Where r is the radius of the base and h is the height of the cylinder.

For the tallest cylinder, the diameter is 6 in - so the radius is 3 in, and the height is 8 in. Using 3 for π, the volume is,

[tex]V_1=3\cdot3^2in^2\cdot8in=216in^3[/tex]

For the shortest cylinder, the diameter is 10 in, so the radius is 5 in, and the height is 2 in. The volume of this cylinder is,

[tex]V_2=3\cdot5^2in^2\cdot2in=150in^3[/tex]

And the total volume of the object is,

[tex]V=V_1+V_2=216in^3+150in^3=366in^3[/tex]

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

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