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Grade 99 grade maths

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}

vijay maurya

7 Years agoGrade 9

1 Answer

Arun

7 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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