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konrad509

[tex] A=\pi r^2\\\\
r^2=\dfrac{A}{\pi}\\\\
r=\sqrt{\dfrac{A}{\pi}} [/tex]

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[tex] V=\dfrac{1}{3}\pi r^3\\\\
\pi r^3=3V\\\\
r^3=\dfrac{3V}{\pi}\\\\
r=\sqrt[3]{\dfrac{3V}{\pi}}
[/tex]

gmany

a. The area of a circle

[tex] A=\pi r^2\ \ \ \ |:\pi\\\\r^2=\dfrac{A}{\pi}\ \ \ |\sqrt{\ }\\\\r=\sqrt{\dfrac{A}{\pi}} [/tex]

b. The volume of a cone that has equal radius and height

[tex]V=\dfrac{1}{3}\pi r^3\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\ \ \ |\sqrt[3]{\ }\\\\r=\sqrt[3]{\dfrac{3V}{\pi}}[/tex]

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