Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 38 of 130

Marks: +1, -0

If h, c, v, are the height, the curved surface area and the volume of a cone, then

3πvh^2

Solution:

Curve surface Area of the cone
c = πrl

C^2h^2

π^2r^2l^2h^2

Volume of the cube V =

1/3πr^2h

Now,

C^2h^2-9V^2

π^2r^2l^2h^2-9\{1/3πr^2h\}^2

π^2r^2l^2h^2-π^2r^4h^2

π^2r^2h^2[l^2-r^2]

π^2r^2h^2h^2

Since Hence for a cone,

l^2

h^2+r^2

h^2

l^2-r^2

Now,

π^1r^2h^4

3π(1/3πr^2h).h^3

3πVh^3

Hence,

3πVh^3

c^2h^2-9V^2

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