Question 44

Total surface area of a cylinder of radius h and height r is ___

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Solution

$2 π h (r + h)$
Given, radius of cylinder = h and height of cylinder = r
$∴$ Total surface area of a cylinder = Curved surface area + Area of top surface + Area of base
$= 2 \times π \times R a d i u s \times H e i g h t + π (R a d i u s)^{2} + π (R a d i u s)^{2} = 2 π h r + π h^{2} + π h^{2} = 2 π r h + 2 π h^{2} = 2 π h (r + h)$

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Question 44 Total surface area of a cylinder of radius h and height r is ___

2πh(r+h) Given, radius of cylinder = h and height of cylinder = r ∴ Total surface area of a cylinder = Curved surface area + Area of top surface + Area of base =2×π×Radius×Height+π(Radius)2+π(Radius)2=2πhr+πh2+πh2=2πrh+2πh2=2πh(r+h)

Question 44

Total surface area of a cylinder of radius h and height r is ___