PLEASE COULD SAME ONE HELP ME.

THREE 2 INCH DIAMETER TENNIS BALLS SNUGLY FIT IN A CYLINDRICAL CAN. THE BALLS TOUCH THE SIDE, TOP AND BOTTON OF THE PLASTIC CAN. HOW MUCH AIR IS IN THE CAN? ROUND DECIMAL ANSWERS TO THE NEAREST TENTH OF A CUBIC INCH. SHOW AND EXPLAIN HOW YOU GOT YOUR ANSWER.

Look at the height of the can.

Aren't there 3 diameters?
What is the circumference?
Isn't it pi(diameter)

what is larger 3D or Dpi

To determine the amount of air in the can, we need to calculate the volume of the cylindrical can and subtract the volume of the three tennis balls.

1. Volume of the cylindrical can:
To find the volume of a cylinder, we use the formula V = π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height of the cylinder.

The diameter of the tennis balls is given as 2 inches, so the radius would be half of that, which is 1 inch. Since the balls touch the side, top, and bottom of the can, the height of the can would be equal to the diameter of the tennis balls, which is also 2 inches.

Therefore, the volume of the cylindrical can is:
V_can = π * (1 inch)^2 * 2 inches
V_can = π * 1 square inch * 2 inches
V_can = 2π cubic inches

2. Volume of the tennis balls:
The volume of a sphere can be calculated using the formula V = (4/3) * π * r^3, where V is the volume, π is a constant approximately equal to 3.14159, and r is the radius.

Since the tennis balls have a diameter of 2 inches, the radius would be 1 inch.

Therefore, the volume of each tennis ball is:
V_ball = (4/3) * π * (1 inch)^3
V_ball = (4/3) * π cubic inches

Since there are three tennis balls, the total volume occupied by the tennis balls is:
V_total_balls = 3 * V_ball

3. Calculation:
To find the volume of air in the can, we subtract the total volume of the tennis balls from the volume of the cylindrical can:
V_air = V_can - V_total_balls
V_air = 2π cubic inches - 3 * (4/3) * π cubic inches

Simplifying the above equation:
V_air = 2π cubic inches - 4π cubic inches
V_air = (2 - 4)π cubic inches
V_air = -2π cubic inches

Since the result is negative, it means that there is no air in the can. The volume of the tennis balls completely fills the can, leaving no empty space.