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A
10ft tall cylinder has a volume of
360 pift^(3). What is the radias of the cylinder?

A $10 \mathrm{ft}$ tall cylinder has a volume of $360 \pi \mathrm{ft}^{3}$ . What is the radias of the cylinder?

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Volume of cylinders

Full solution

Q. A

10 \mathrm{ft}

tall cylinder has a volume of

360 \pi \mathrm{ft}^{3}

. What is the radias of the cylinder?

Write Down Information: Write down what we know. $\newline$ Height $h$ : $10$ ft $\newline$ Volume $V$ : $360 \pi$ ft $^3$ $\newline$ We need to find the radius $r$ .
Use Volume Formula: Use the formula for the volume of a cylinder. $V = \pi \cdot r^2 \cdot h$
Plug in Values: Plug in the values we know and solve for $r^2$ . $\newline$ $360 \pi = \pi \cdot r^2 \cdot 10$
Divide by Pi: Divide both sides by $\pi$ to cancel it out. $\newline$ $360 = r^2 \times 10$
Divide by $10$ : Divide both sides by $10$ to solve for $r^2$ . $\newline$ $36 = r^2$
Take Square Root: Take the square root of both sides to solve for $r$ . $r = 6$

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