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Determine the volume in cm^ 3 of the following cylinder with a diameter of 7.9 mm and a length of 18.8 mm to one decimal place. Where pi = 3.14

Determine the volume in cm^ 3 of the following cylinder with a diameter of 7.9 mm-example-1

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The volume of the cylinder is equal to the product of the height and the area of the base of the cylinder:


V=Bh

Where

B is the area of the circular base

h is the height of the cylinder

To calculate the area of the circular base, you can apply the following formula:


B=\pi r^2

Then you can calculate the volume as follows:


V=\pi r^2h

The diameter of the circular base is 7.9mm, the radius is half the diameter, then:


\begin{gathered} r=(d)/(2) \\ r=(7.9)/(2) \\ r=3.95\operatorname{mm} \end{gathered}

You have to calculate the volume in cubic centimeters, so you have to convert the units from millimeters to centimeters.

1 centimeter is equal to 10 millimeters, divide the radius by 10 to determine the equivalent value in centimeters:


(3.95)/(10)=0.395\operatorname{cm}

The height of the cylinder is 18.8mm, to express this value in centimeters, you have to divide it by 10:


(18.8)/(10)=1.88\operatorname{cm}

Once both dimensions are expressed in centimeters, you can calculate the volume of the cylinder:


\begin{gathered} V=\pi r^2h \\ V=3.14\cdot(0.395)^2\cdot1.88 \\ V=3.14\cdot0.156025\cdot1.88 \\ V=0.92104678 \\ V\approx0.9\operatorname{cm}^3 \end{gathered}

The volume of the cylinder is equal to 0.9 cubic centimeters.

User Alessandroempire
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