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The respective ratio of curved surface area and total surface area of a cylinder is 4:5. If the curved surface area of the cylinder is 1232cm², What is the height?
  • a)
    14 cm
  • b)
    28 cm
  • c)
    7 cm
  • d)
    56 cm
  • e)
    24 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The respective ratio of curved surface area and total surface area of ...
4x = curved surface area = 1232
x = 308
5x = total surface area = 1540
curved surface area = 2πrh
total surface area = 2πr(r + h)
2πr(r + h) = 1540
2πr² + 2πrh = 1540
2πr² = 1540 – 1232
r = 7; h = 28
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Most Upvoted Answer
The respective ratio of curved surface area and total surface area of ...
The respective ratio of the curved surface area and the total surface area of a cylinder is 4:5.

Let's assume that the curved surface area of the cylinder is 4x and the total surface area is 5x.

Given that the curved surface area of the cylinder is 1232 cm², we can set up the equation:

4x = 1232

Dividing both sides by 4, we get:

x = 1232/4
x = 308

Now, we can find the total surface area of the cylinder:

5x = 5 * 308 = 1540 cm²

Therefore, the total surface area of the cylinder is 1540 cm².
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The respective ratio of curved surface area and total surface area of a cylinder is 4:5. If the curved surface area of the cylinder is 1232cm², What is the height?a)14 cmb)28 cmc)7 cmd)56 cme)24 cmCorrect answer is option 'B'. Can you explain this answer?
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