If the lateral Surface Area of a cylinder is 484 and its height is 12 cm, then find its radius𝑐𝑚2of the base?
Question
If the lateral Surface Area of a cylinder is 484 and its height is 12 cm, then find its radius 𝑐𝑚² of the base?
Solution
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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