Curved surface area of a cylinder is 440 cm . The base circumference is 44 cm. What is its volume?
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A.
1240 cm3
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B.
3050 cm3
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C.
1540 cm3
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D.
710 cm3
Correct Answer:
C. 1540 cm3
Explanation:
To solve for the volume of the cylinder, we first use the given curved surface area and base circumference to find the height and radius.1. Find the radius (r): The base circumference is 44 cm. Using the formula Circumference = 2πr, we have 44 = 2 \* (22/7) \* r. Solving for r gives r = 7 cm.
2. Find the height (h): The curved surface area is 440 cm². Using the formula CSA = 2πrh, we have 440 = 44 \* h (since 2πr is the circumference). Solving for h gives h = 10 cm.
3. Calculate the volume (V): Using the formula V = πr²h, we substitute the values: V = (22/7) \* 7 \* 7 \* 10. This results in 1540 cm³.The correct answer is 1540 cm³.
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