A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the b

Question

2 months ago

6

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the b

ubbles 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

Mathematics

2 answers:

tester [12.3K] · Answer 1 · 2026-03-08T20:06:40+03:00

tester [12.3K]2 months ago

8 0

WHEN THE RADIUS REACHES 0.7mm, THE VOLUME IS APPROXIMATELY 1.44mm^3 APEX;)

tester [12.3K] · Answer 2 · 2026-03-08T20:08:33+03:00

Since the radius is provided, we can formulate the equation and compute the volume V.

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

Next, we will cube both sides to eliminate the cube root resulting in:

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

Then, to remove the fraction, we multiply both sides by 4 pi:

$0.339=3V$

Finally, we can divide both sides by 3 to derive V

$V=0.11$

Thus, the volume amounts to 0.11 cubic mm.