Question

The ratio of tadii of two sphere is 4:3. The ratio of their volume is
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Answer 1

Answer:

Step-by-step explanation:

Volume of first sphere: 4/3*22/7*4*4*4

Volume of second sphere: 4/3*22/7*3*3*3

Ratio of volume= ( 4/3*22/7*4*4*4)÷(4/3*22/7*3*3*3)

=4*4*4/3*3*3= 64/27

Therefore ratio of volumes is 64/27

Answer 2

Solution

let two sphere of radius r1 and r2

the volume of the spheres are

$V_1 = \frac{4}{3} \pi r_1 {}^{ 3} \\ and \\ V_2 = \frac{4}{3} \pi r_2 {}^{3}$

therefore...

$\large\implies \frac{V_1}{V_2} = \frac{ \frac{4}{3} \pi r_1 {}^{3} }{ \frac{4}{3}\pi r_2 {}^{3} } \\ \large\implies \frac{V_1}{V_2} =( \frac{r_1 }{r_2} ) \\ putting \: the \: values \:r_1 :r_2 = 4 : 3 \\\large \implies \frac{V_1}{V_2} = (\frac{4}{3} ) {}^{3} \\ \large \implies \frac{V_1}{V_2} = \frac{64}{27} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \large \implies\boxed{ \frac{V_1}{V_2} = \frac{64}{27} }$