Question

the volume of a cone is 462m cube.its base radius is 7m.find its height

Answer 1

$\textsf{Answer :-}$

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Given :-

The volume of a cone is 462 m³

And it's base radius is ( r ) 7 m.

To find :-

The height of the cone.

Salutation :-

Let the height of the cone be h

Then , the volume of the cone be

=1 / 3 × π × r² × h m³

= ( 22 × 7 × 7 × h ) / ( 3 × 7 ) m³

= ( 22 × 7 × h ) / 3 m³

Now , according to the question ,

22 × 7 × h / 3 = 462

22h × 7 = 462 × 3

h = ( 462 × 3 ) / ( 22 × 7 )

h = 3 × 3

h = 9

•°• The height of the cone is 9 m.

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Answer 2

We know that volume of cone = (1/3) πr^2h

⇒ 462 = (1/3) * (22/7) * (7)^2 * h

⇒ 462 = (1/3) * 154 * h

⇒ 1386 = 154 h

⇒ h = 9 m.

Therefore, height = 9 m.

Hope it helps!