5. If the circumference of the base of a right circular cylinder is 110 cm, then find its base area.

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Finding the Base Area of a Right Circular Cylinder Understanding the Problem To find the base area of a right circular cylinder, we need to utilize the given information about its circumference. Given Information: Circumference of the base: 110 cm Solution Steps: Determine the Radius: The circumference...
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Finding the Base Area of a Right Circular Cylinder Understanding the Problem To find the base area of a right circular cylinder, we need to utilize the given information about its circumference. Given Information: Circumference of the base: 110 cm Solution Steps: Determine the Radius: The circumference of a circle CC is given by the formula: C=2πrC=2πr. Given C=110C=110 cm, we can rearrange the formula to solve for the radius rr: 110=2πr110=2πr Solving for rr: r=1102πr=2π110 Calculate the Base Area: The formula for the area AA of a circle is: A=πr2A=πr2. Plug in the value of rr obtained from step 1 into the formula: A=π(1102π)2A=π(2π110)2 Simplify: A=π(11024π2)A=π(4π21102) A=11024πA=4π1102 Final Calculation: Calculate the value of AA: A=121004πA=4π12100 A≈3035.5πA≈π3035.5 A≈964.88A≈964.88 sq. cm (rounded to two decimal places) Conclusion: The base area of the right circular cylinder is approximately 964.88964.88 square centimeters. read less
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