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A) 10 cm |

B) 12 cm |

C) 15 cm |

D) 16 cm |

Correct Answer:

D) 16 cm |

Description for Correct answer:

Let the height and radius of solid cylinder be h and r cm respectively.

Given that, radius (r) = 5 cm

and total surface area = 660 \( \Large cm^{2} \)

=> \( \Large 2 \pi rh + 2 \pi r^{2} = 660 \)

=> \( \Large 2 \pi r \left(h + r\right) = 660 \)

=> \( \Large \left(h + 5\right) = \frac{330}{5 \pi } = \frac{330}{5} \times \frac{7}{22} \)

=> \( \Large h = \frac{66 \times 7}{22} -5 = 21 - 5 \)

Therefore, Required height = 16 cm

Let the height and radius of solid cylinder be h and r cm respectively.

Given that, radius (r) = 5 cm

and total surface area = 660 \( \Large cm^{2} \)

=> \( \Large 2 \pi rh + 2 \pi r^{2} = 660 \)

=> \( \Large 2 \pi r \left(h + r\right) = 660 \)

=> \( \Large \left(h + 5\right) = \frac{330}{5 \pi } = \frac{330}{5} \times \frac{7}{22} \)

=> \( \Large h = \frac{66 \times 7}{22} -5 = 21 - 5 \)

Therefore, Required height = 16 cm

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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