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The volume of a cylinder having base radius 3 cm is 396 cm3 . Find its curved surface area (in cm2 ).
(Use ? = 22/7
280
301.5
264
320.6
To find the curved surface area of the cylinder, follow these steps:
- Use the formula for the volume of a cylinder: \( V = \pi r^2 h \).
- The given volume is 396 cm³ and the radius \( r \) is 3 cm.
- Substitute the values to find the height \( h \): \( 396 = \frac{22}{7} \times 3^2 \times h \).
- Solve for \( h \): \( h = \frac{396 \times 7}{22 \times 9} = 6 \).
- The height of the cylinder is 6 cm.
- Use the formula for curved surface area: \( CSA = 2 \pi r h \).
- Substitute \( r = 3 \) cm and \( h = 6 \) cm: \( CSA = 2 \times \frac{22}{7} \times 3 \times 6 = 264 \text{ cm}^2 \).
- Option 3: 264 is correct.
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