toy rubber balls are packaged in a circular cylinder that holds 3 balds. the diameter of each ball is 3.7 cm find the volume of the circular cylender use 3.14 to represent
To find the volume of the cylindrical packaging, we first need to find the radius of the balls.
The diameter of each ball is given as 3.7 cm. The radius of a circle is half of its diameter, so the radius of the balls would be 3.7 cm / 2 = 1.85 cm.
Since the cylindrical packaging can hold 3 balls, we can consider it as a cylinder with a height equal to the sum of the heights of three balls. The height of each ball is equal to its diameter, which is 3.7 cm.
So, the height of the cylindrical packaging is 3 balls x 3.7 cm = 11.1 cm.
Now, we can calculate the volume V of the cylinder using the formula:
V = π * r^2 * h
Where:
π is approximately 3.14
r is the radius of the cylinder (1.85 cm)
h is the height of the cylinder (11.1 cm)
Plugging in the values, we have:
V = 3.14 * (1.85 cm)^2 * 11.1 cm
V ≈ 3.14 * (3.42 cm^2) * 11.1 cm
V ≈ 120.15 cm^3
Therefore, the volume of the cylindrical packaging is approximately 120.15 cm^3.
To find the volume of the circular cylinder, we need to know the formula for the volume of a cylinder. The formula is given by V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder's base, and h is the height of the cylinder.
In this case, since the cylinder holds 3 balls, and the diameter of each ball is given as 3.7 cm, we can find the radius of the ball by dividing the diameter by 2. So the radius of each ball is 3.7 cm / 2 = 1.85 cm.
Now, we need to find the height of the cylinder. Since the ball fills the cylinder completely, the height of the cylinder will be equal to the diameter of the ball, which is 3.7 cm.
Finally, we can substitute the values into the formula to find the volume of the cylinder:
V = πr^2h
= 3.14 * (1.85 cm)^2 * 3.7 cm
Calculating this, we get:
V ≈ 20.73417 cm^3
Therefore, the volume of the circular cylinder is approximately 20.73417 cm^3.
isn't the height equal to 3 diameters?
volume = π(r^2)(h)
Tennis balls used to be sold in metal cans to hold exactly 3 tennis balls.
I used to hold up the can and challenge my students to tell me with only mental calculations which was greater,
the height of the can or the circumference of the can?