## anonymous one year ago Two similar cylinders have a scale factor of 1.6/3. Find their volumes

1. jdoe0001

$$\cfrac{1.6}{3}?$$

2. anonymous

A) 512/3375 B) 64/225 C) 81/121 D) 64/81

3. anonymous

its not a decimal

4. jdoe0001

$$\bf \begin{array}{llll} &area&volume \\\hline\\ \textit{scale factor}=\cfrac{side1}{side2}=&\cfrac{(side1)^2}{(side2)^2}=&\cfrac{(side1)^3}{(side2)^3} \end{array}$$ what do you think?

5. anonymous

i dont know the sides so i dont know

6. jdoe0001

$$\begin{array}{llll} &area&volume \\\hline\\ \textit{scale factor}=\cfrac{1.6}{3}=\cfrac{side1}{side2}=&\cfrac{(side1)^2}{(side2)^2}=&\cfrac{(side1)^3}{(side2)^3} \end{array}$$ how about now?

7. anonymous

0.53

8. jdoe0001

well.. what does the fraction for the volume give you?

9. anonymous

is 1.6 what i plug in for side1?

10. anonymous

@jdoe0001 i keep getting 0.15 but thats not a fraction

11. jdoe0001

hmmm

12. jdoe0001

right... wondering where the 0.15 is coming from you're not using a calculator by any chance? the result will be a fraction btw and yes, a calculator will give you the decimal form but get the fraction firstly what do you get for $$\bf \cfrac{1.6^3}{3^3}?$$