If the volume of a spherical ball is 113.04 cubic inches, what is the radius?
a. 27 inches
b. 3 inches
c. 9 inches
d. 18 inches
THE ANSWER IS NOT d. 18 inches..
The answer is c. 9 inches.
Make sure you double-check all answers.
Once again, the robot tutor is wrong!!!!
(4/3)Ï€ r^3 = 113.04
4Ï€ r^3 = 339.12
r^3 = 26.986..
r = (26.986..)^(1/3) = 3 inches
thanks
this ai needs to work somewhere else
😔
god this ai is weird
It is extremely irritating.
To find the radius of a spherical ball given its volume, you can use the formula for the volume of a sphere: V = (4/3)Ï€r^3, where V is the volume and r is the radius.
In this case, the volume of the spherical ball is given as 113.04 cubic inches.
We can set up an equation with this information:
V = (4/3)Ï€r^3
113.04 = (4/3)Ï€r^3
To solve for r, we can rearrange the equation:
r^3 = (3/4Ï€) * 113.04
r^3 = 84.78Ï€
Now, to solve for r, we can take the cube root of both sides of the equation:
r = ∛(84.78π)
To calculate this value, we need to know the approximation of π. Let's assume π is approximately equal to 3.14.
r ≈ ∛(84.78 * 3.14)
r ≈ ∛(266.0772)
Using a calculator, we can find the cube root of 266.0772 to get the approximate value of r:
r ≈ 6.597
Among the given options, the closest radius to 6.597 inches is:
a. 27 inches (not correct)
b. 3 inches (not correct)
c. 9 inches (not correct)
d. 18 inches (not correct)
As none of the given options match the approximate value of the radius we obtained, it seems that the correct answer is not provided.