Question

(iv) The volume of the right circular con- with radius 6 cm, height 7 cm
a) 6
b) 7
c) 42
d) 264​

Answer 1

Given :

• Radius of Cone is 6 cm .
• Height of Cone is 7 cm .

To Find :

• Volume of Cone .

Solution :

$\longmapsto\tt{Radius=6\:cm}$

$\longmapsto\tt{Height=7\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cone=\dfrac{1}{3}\pi{{r}^{2}h}}$

Putting Values :

$\longmapsto\tt{\dfrac{1}{{\not{2}}}\times\dfrac{22}{{\not{7}}}\times{{\not{6}}}\times{6}\times{{\not{7}}}}$

$\longmapsto\tt{22\times{2}\times{6}}$

$\longmapsto\tt{44\times{6}}$

$\longmapsto\tt\bf{264\:{cm}^{3}}$

So , The Volume of Cone is 264 cm³ ..

Option d) 264 cm³ is Correct ..

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• C.S.A of Cone = πrl
• T.S.A of Cone = πr(l+r)
• Volume of Cone = 1/3 πr²h

Here :

• l = slant height of cone
• h = height
• r = Radius

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