The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height.

Given that the lateral surface area is 484 cm² and the height is 12 cm, we can substitute these values into the formula:

484 = 2πr(12)

To solve for r, we first divide both sides of the equation by 2π and 12:

r = 484 / (2π * 12)

This simplifies to:

r = 484 / 75.398223686

After performing the division, we find that the radius r is approximately 6.42 cm.

Question

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height.

Given that the lateral surface area is 484 cm² and the height is 12 cm, we can substitute these values into the formula:

484 = 2πr(12)

To solve for r, we first divide both sides of the equation by 2π and 12:

r = 484 / (2π * 12)

This simplifies to:

r = 484 / 75.398223686

After performing the division, we find that the radius r is approximately 6.42 cm.

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