What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm?
Correct Answer: 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
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