Question

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about .3 mm. According to the formula below, what would be the volume of one of these bubbles?
A. About 0.27 mm^3
B. About 0.11 mm^3
C. About 0.38 mm^3
D. About 0.42 mm^3

Answer 1

WHEN THE RADIUS IS .7mm ITS ABOUT 1.44mm^3 APEX ;)

Answer 2

Since we are given r, we can set up the equation and solve for V.

$0.3= \sqrt[3]{ \frac{3V}{4 \pi } }$

Now, we cube both sides to get rid of the cube root.  This equals:

$0.027= \frac{3V}{4 \pi }$

Next, we multiply both sides by 4 pi to get rid of the fraction:

$0.339=3V$

Now, we can simply divide both sides by 3 to find V

$V=0.11$

So, the volume is 0.11 cubic mm.