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Volume of a solid cylinder is 62.37 . find the radius if its height is 4.5 cm

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Final answer:

The radius of a cylinder with a volume of 62.37 cm3 and a height of 4.5 cm is approximately 2.098 cm.

Step-by-step explanation:

The volume of a solid cylinder can be calculated using the formula V = π * r2 * h, where V is the volume, π is a constant value of approximately 3.14159, r is the radius, and h is the height. Given that the volume of the cylinder is 62.37 cm3 and the height is 4.5 cm, we can rearrange the formula to solve for the radius:

62.37 = 3.14159 * r2 * 4.5

Simplifying the equation, we get:

r2 = 62.37 / (3.14159 * 4.5)

r2 ≈ 4.4015

Taking the square root of both sides, we find:

r ≈ 2.098 cm

Therefore, the radius of the cylinder is approximately 2.098 cm.

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