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The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
What is the volume of a figure?
The volume of a figure is the total space enclosed within the figure.
How do we determine the volume of a cylinder?
The volume of a cylinder of radius r units, and height h units is determined using the formula,
The volume of the cylinder = πr²h.
How do we solve the given question?
In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.
The volume of the cylinder is given to be 1357 in³ approximately.
By the formula,
The volume of the cylinder = πr²h
or, 1357 = 3.14*(r²)*12
or, 1357 = 37.68r²
or, r² = 1357/37.68
or, r² = 36.013 ≈ 36 = 6²
∴ r = 6.
∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
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