Question

The radius of two spherical tanks are in the ratio 3 : 4. The volume of the first tank is 540 litres, Find the volume of the second tank.

Answer 1

volume is directly proportional to the cube of radiaus of sphere
v1/v2=r1³/r2³

Answer 2

Let the Volume of 1st Spherical tank be V1 ( 540litres )
$\frac{540}{v2} = \frac{27}{64}$

and 2nd be V2

Radius of V1 ( r1 ) = 3x
Radius of V2 ( r2 ) = 4x ...... ( Where is x is constant for r1 & r2 )

$\frac{v1}{v2} = \frac{ \frac{4}{3} \pi \: ( {r1)}^{3} }{ \frac{4}{3} \pi \: ( {r2)}^{3} }$
$\frac{540}{v2} = \frac{27}{64}$

$v2 = \frac{540 \times 64}{27}$

V2 = 1280 litres