the difference between the outer and inner curved surface area of a cylinder 14 cm is 88 square cm .Find the outer and inner radii of the cylinder.Given that , volume of the metal is 176 cc.
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Answer:
Solving (i) and (ii) we get R = 5/2 cm and r = 3/2 cm
Step-by-step explanation:
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
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