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

 A) 10 cm B) 12 cm C) 15 cm D) 16 cm

 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

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

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