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What's the surface area ratio & the volume ratio??

please help me ASAP!!

What's the surface area ratio & the volume ratio?? please help me ASAP!!-example-1
User Danielrozo
by
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1 Answer

6 votes

Answer:

Explanation:

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

Things to remember:

1). Scale factor of two objects =
(r_1)/(r_2) [
r_1 and
r_2 are the radii of two circles]

2). Area scale factor =
((r_1)^2)/((r_2)^2)

3). Volume scale factor =
((r_1)^3)/((r_2)^3)

Volume scale factor Or Volume ratio =
(V_A)/(V_B)


((r_1)^3)/((r_2)^3)= (648)/(1029)


(r_1)/(r_2)=\sqrt[3]{(648)/(1029) }


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


(r_1)/(r_2)=(6)/(7)

Therefore, scale factor =
(r_1)/(r_2)=(6)/(7)

6 : 7

Area scale factor Or area ratio =
((r_1)/(r_2))^2=((6)/(7))^2

=
(36)/(49)

36 : 49

Volume scale factor or Volume ratio =
(648)/(1029)

=
(216)/(343)

216 : 343

User Agilityvision
by
4.8k points