the volume of a sphere is a function of its radius. find the volume of air in a standard volleyball with a diameter of 8.5 inches, given v=4/3πr^3

The volume of air in a standard volleyball of diameter 8.5 inches is 321.68 inches^3

Step-by-step explanation:

Here, we want to calculate the volume of air in a standard volleyball.

Mathematically, in this case, we know that the air will fill up the entire mass of the volleyball.

So, by calculating the volume of the volleyball, we have successfully calculated the volume of air.

Mathematically, from the question, we already have the formula to use

v=4/3πr^3

Where π = 22/7

r = diameter/2 = 8.5/2 = 4.25 inches

Substituting these values into the volume equation, we have;

V = 4/3 * 22/7 * 4.25^3 = 321.68 inches^3

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: