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CBSE Class 9 Answered

Find the lateral surface area of a hollow cylinder open at the ends, if its length is 10 cm, the external diameter is 8 cm and the thickness is 1 cm.
Asked by Topperlearning User | 12 Oct, 2017, 07:59: AM
answered-by-expert Expert Answer

Given: length (h) = 10 cm

External Diameter = 8 cm ⇒ external radius (R) = 4 cm, Internal radius (r) = 3 cm

Let S denote the lateral Surface area of the hollow cylinder.

 

begin mathsize 12px style straight S space equals space 2 πRh space plus space 2 πrh
rightwards double arrow straight S space equals space 2 πh open parentheses straight R plus straight r close parentheses
rightwards double arrow straight S space equals space 2 cross times 22 over 7 cross times 10 open parentheses 4 plus 3 close parentheses space cm squared
rightwards double arrow straight S space equals space 440 space cm squared end style

Answered by | 12 Oct, 2017, 09:59: AM
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