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------------------------------------------------ The volume of a cylinder is [tex]176\pi \, \text{cm}^3[/tex] and its height is 11 cm. What is the length of the cylinder's radius?

Enter your answer in the box (cm).

Answer :

The length of the cylinder's radius is 4 cm.

To find the length of the cylinder's radius, we can use the formula for the volume of a cylinder: V = πr²h
where V is the volume, r is the radius, and h is the height.In this case, we are given that the volume is 176π cm³ and the height is 11 cm. Substituting these values into the formula: 176π = πr²(11)
Simplifying the equation by canceling out the common factor of π:
176 = 11r²
Now we can solve for the radius (r): r² = 176 / 11
r² = 16
Taking the square root of both sides: r = √16
r = 4
Therefore, the length of the cylinder's radius is 4 cm.

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