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c, t and v are curved surface area , total surface area and volume of a cylinder then show that: th 2 = ch square + 4 v square + 8v square × rh where r and h are radius and height

  1. c, t and v are curved surface area , total surface area and volume of a cylinder then show that: th2 = ch square + 4 v square + 8v square × rh     where r and h are radius and height 

Grade:9

1 Answers

Arun
25763 Points
2 years ago
Take rhs of this question
Th^2=Ch^2+ 4V^2 +8 V^2 r h
CSA of cylinder= 2πrh
TSA of cylinder =2πr(r+h)
Vol. Of cylinder = π r^2 h
 Now take RHS :-
2πrh× (h^2) + 4 (πr^2h)^2 + 8 (πr^2h)^2 × r × h
= 2π × r × h^3 + 4 ×π^2 × r^4 × h^2 + 8 π^2 r^5 × h^3
 
 

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