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Answer :
Final answer:
The volume of the cylinder is approximately 1,570 cubic inches.
Explanation:
The volume of a cylinder can be found by using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. The diameter of the cylinder given is 10 inches, which means the radius is half of that, or 5 inches. Therefore, the formula becomes V = π(5 in)²(20 in).
By substituting the values and using the approximate value of π as 3.14, we can calculate the volume as follows: V = 3.14(5 in)²(20 in).
Simplifying the calculation, we get V ≈ 3.14(25 in²)(20 in), which equals approximately 1,570 cubic inches. Therefore, the correct answer is option C. 1,570 cu. in.
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