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Answer :
Final answer:
The volume of the cylinder is 1,570 cu. in.
Explanation:
To find the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the base of the cylinder, and h is the height of the cylinder.
Given that the diameter of the cylinder is 10 inches, the radius is half the diameter, so the radius would be 5 inches. The height of the cylinder is given as 20 inches.
Plugging in the values into the formula, V = 3.14 x 5² x 20 = 3.14 x 25 x 20 = 1570 cubic inches. Therefore, the correct answer is option B. 1,570 cu. in.
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