Question

HELPPPPPPPPPP PLEASE WILL MARK BRAINLIEST!!!!!!!! Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the nearest tenth. A. 6.2 cm B. 7.5 cm C. 12.4 cm D. 15.0 cm

Answer 1

Answer: 12.4 cm

Step-by-step explanation:

Since we are given the volums, we can work our way backwards to solve for radius, and then for diameter.

$V=\frac{4}{3} \pi r^3$

$1000=\frac{4}{3} \pi r^3$

$750=\pi r^3$

$r^3=238.7324146$

$r=6.2$

Now that we have r, we multiply it by 2 to get diameter.

2×6.2=12.4

Answer 2

Answer:

C

Step-by-step explanation:

V=4/3πr^3

1000=4/3πr^3

1000=(4/3(3.141593))(r^3)

Step 1: Subtract 4.18879r^3 from both sides.

1000−4.18879r3=4.18879r^3−4.18879r^3

−4.18879r^3+1000=0

Step 2: Subtract 1000 from both sides.

−4.18879r^3+1000−1000=0−1000

−4.18879r^3=−1000

Step 3: Divide both sides by -4.18879.

−4.18879^3 /−4.18879  =  −1000 /−4.18879

r^3=238.732415

Step 4: Take cube root.

r=(238.732415)^1/3

r=6.203505