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A solid cylinder's base has a diameter of 14cm and the height is 20cm. Find the surface area, total surface area and the volume of the cylinder.
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A) \( \Large 772 cm^{2} \), \( \Large 1266\ cm^{2} \), \( \Large 2680\ cm^{3} \) |
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B) \( \Large 984 cm^{2} \), \( \Large 1372\ cm^{2} \), \( \Large 4960\ cm^{3} \) |
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C) \( \Large 880 cm^{2} \), \( \Large 1188\ cm^{2} \), \( \Large 3080\ cm^{3} \) |
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D) \( \Large 1082 cm^{2} \), \( \Large 1464\ cm^{2} \), \( \Large 3660\ cm^{3} \) |
Correct Answer:
| C) \( \Large 880 cm^{2} \), \( \Large 1188\ cm^{2} \), \( \Large 3080\ cm^{3} \) |
Description for Correct answer:
Diameter = 14 cm., Therefore, r = 7 cm.' height of the Cylinder = 20 cm.
1) Surface area = \( \Large 2 \pi rh \)
= \( \Large 2 \times \frac{22}{7} \times 7 \times 20 \)
= \( \Large 880 cm^{2} \)
2) Total surface area = \( \Large 2 \pi r \left(r+h\right) \)
= \( \Large 2 \times \frac{22}{7} \times 7 \left(27\right) \)
= \( \Large 44 \times 27 = 1188\ cm^{2} \)
3) Volume of the cylinder = \( \Large \pi r^{2}h = \frac{22}{7} \times 7 \times 7 \times 20 \)
= \( \Large 154 \times 20 = 3080\ cm^{3} \)
Diameter = 14 cm., Therefore, r = 7 cm.' height of the Cylinder = 20 cm.
1) Surface area = \( \Large 2 \pi rh \)
= \( \Large 2 \times \frac{22}{7} \times 7 \times 20 \)
= \( \Large 880 cm^{2} \)
2) Total surface area = \( \Large 2 \pi r \left(r+h\right) \)
= \( \Large 2 \times \frac{22}{7} \times 7 \left(27\right) \)
= \( \Large 44 \times 27 = 1188\ cm^{2} \)
3) Volume of the cylinder = \( \Large \pi r^{2}h = \frac{22}{7} \times 7 \times 7 \times 20 \)
= \( \Large 154 \times 20 = 3080\ cm^{3} \)
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