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CBSE Class 10 Answered

the difference between outer and inner curved surface area of a hollow right circular cylinder 14cm long is 88 sq.cm. if the volume of metal used in the maing of cylinder is 176 cubic.cm, find the inner and outer diameter of the cylinder?
Asked by devika.skumar | 01 Feb, 2019, 09:26: PM
answered-by-expert Expert Answer
Height of the hollow cylinder = h = 14 cm
Outer curved surface area - inner curved surface area = 88
2∏h(R - r) = 88 where R is the outer radius and r is inner radius
Taking ∏ = 22/7 and simplifying we get 
R - r = 1 .....(i)
Volume of outer part - Volume of inner part = 176
∏h(R2 - r2) = 176
∏h(R + r) (R - r) = 176
∏h(R + r) = 176       from (i)
begin mathsize 16px style 22 over 7 cross times 14 open parentheses straight R plus straight r close parentheses equals 176 end style
R + r = 4  ....(ii)
Solving (i) and (ii) we get R = 5/2 cm and r = 3/2 cm

Answered by Sneha shidid | 02 Feb, 2019, 01:04: PM

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