Question:
If the curved surface area of a cylinder is \( 1760 \) cm\(^2\) and its base radius is \( 14 \) cm, then its height is:
If the curved surface area of a cylinder is \( 1760 \) cm\(^2\) and its base radius is \( 14 \) cm, then its height is:
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For cylinders, Curved Surface Area formula:
\[ \text{CSA} = 2\pi rh \]
\[ \text{CSA} = 2\pi rh \]
Updated On: Oct 27, 2025
- \( 10 \) cm
- \( 15 \) cm
- \( 20 \) cm
- \( 40 \) cm
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The Correct Option is C
Solution and Explanation
Curved surface area of a cylinder:
\[ \text{CSA} = 2\pi rh \] \[ 1760 = 2\pi (14) h \] \[ 1760 = 2(3.14)(14) h \] \[ 1760 = 87.92 h \] \[ h = \frac{1760}{87.92} \approx 20 \text{ cm} \]
\[ \text{CSA} = 2\pi rh \] \[ 1760 = 2\pi (14) h \] \[ 1760 = 2(3.14)(14) h \] \[ 1760 = 87.92 h \] \[ h = \frac{1760}{87.92} \approx 20 \text{ cm} \]
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