3 years ago

What’s the answer to this please

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Answer: A

Step-by-step explanation:

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Step-by-step explanation:

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Ulleksa [173]

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Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = $\frac{r_1}{r_2}$ [ $r_1$ and $r_2$ are the radii of two circles]

2). Area scale factor = $\frac{(r_1)^2}{(r_2)^2}$

3). Volume scale factor = $\frac{(r_1)^3}{(r_2)^3}$

Volume scale factor Or Volume ratio = $\frac{V_A}{V_B}$

$\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}$

$\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }$

$\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}$

$\frac{r_1}{r_2}=\frac{6}{7}$

Therefore, scale factor = $\frac{r_1}{r_2}=\frac{6}{7}$

≈ 6 : 7

Area scale factor Or area ratio = $(\frac{r_1}{r_2})^2=(\frac{6}{7})^2$

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≈ 36 : 49

Volume scale factor or Volume ratio = $\frac{648}{1029}$

= $\frac{216}{343}$

≈ 216 : 343

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3 years ago