A can containing 3 tennis balls has a volume of 128/9pi cubic inches. If the height of the cylinder is 8in., what is the diameter of each tennis ball.

Please explain how to do this.

Do you mean V = (128/9)pi?

V = pi*r^2*h = (128/9)pi.
3.14*r^2*8 = 44.7
r^2 = 1.78
r = 1.33 In.
D = 2r = 2.7 In.

The diameter will be the same as the diameter of the cylinder because the balls fit inside the cylinder

A student earns 10 dollars for every yard he mows in his neighborhood. He wants to buy a new MP3 player for 180 dollars including tax. At least how many yards will he need to mow in order to earn money for the MP3 player?

a) Write an inequality that could be used to solve the problem.
b) solve the inequity.

A can containing 3 tennis balls has a volume of 12891289π cubic inches.

What is the diameter of each tennis ball?

To find the diameter of each tennis ball, we need to determine the radius of the tennis ball first. Then we can double the radius to find the diameter.

Given that a can containing 3 tennis balls has a volume of 128/9π cubic inches, and the height of the cylinder is 8 inches, we can use the volume formula for a cylinder to find the volume of each tennis ball.

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the can is 128/9π cubic inches, and the height is 8 inches. Since there are three tennis balls, we can divide the volume of the can by 3 to find the volume of each tennis ball.

Volume of each tennis ball = (128/9π) / 3 = 128/27π cubic inches.

Now, we can set up an equation to solve for the radius of each tennis ball:

πr^2 * 8 = 128/27π.

Cancel out the π terms:

8r^2 = 128/27.

Multiply both sides of the equation by 27:

216r^2 = 128.

Divide both sides by 216:

r^2 = 128/216.

Take the square root of both sides:

r = √(128/216).

Simplify the square root:

r = √(64/108).

Divide both the numerator and denominator by the greatest common divisor, which is 4:

r = √(16/27).

Take the square root of 16 and 27 separately:

r = √16 / √27.

Simplify the square roots:

r = 4/3√3.

Now that we have the radius of each tennis ball, we can find the diameter. The diameter is simply twice the radius.

Diameter of each tennis ball = 2 * (4/3√3) = 8/3√3 inches.

Therefore, the diameter of each tennis ball is 8/3√3 inches.