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A right circular cylinder has a volume of 1 cubic meter and a height of 0.6 meters what is the radius of the cylinder to the nearest thousandth of a meter?

A Right Circular Cylinder Has A Volume Of 1 Cubic Meter And A Height Of 06 Meters What Is The Radius Of The Cylinder To The Nearest Thousandth Of A Meter class=

Sagot :

The volume formula of a cylinder is :

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

From the problem, the volume is 1 m^3 and the height is 0.6 m.

Substitute the given to the formula :

[tex]\begin{gathered} 1=\pi r^2(0.6) \\ 1=3.14(0.6)r^2 \\ r^2=0.53 \end{gathered}[/tex]

Take the square root of both sides of the equation :

[tex]\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}[/tex]

The answer is r = 0.728 m