The height of a stack of 5 pennies is 0.72 cm and the radius of the stack is 0.91 cm. The volume in mL of this stack of 5 pennies is...
volume = pi*r^2*h.
To find the volume of the stack of 5 pennies, we first need to find the volume of a single penny, and then multiply it by 5.
The volume of a cylinder, which is the shape of a penny, can be calculated using the formula:
Volume = π * r^2 * h
Where:
- π is a constant approximately equal to 3.14
- r is the radius of the penny
- h is the height of the penny
Given:
- The radius of the stack is 0.91 cm
- The height of the stack is 0.72 cm
Let's calculate the volume of a penny:
Volume of a penny = π * (0.91 cm)^2 * 0.72 cm
Calculating this equation gives us:
Volume of a penny ≈ 3.14 * (0.91 cm)^2 * 0.72 cm
Volume of a penny ≈ 3.14 * 0.8281 cm^2 * 0.72 cm
Volume of a penny ≈ 1.899 cm^3
Since we have 5 pennies, the volume of the stack of 5 pennies is:
Volume of the stack = 1.899 cm^3 * 5
Volume of the stack ≈ 9.495 cm^3
Since 1 cm^3 equals 1 mL, the volume of the stack is approximately:
Volume of the stack ≈ 9.495 mL
Therefore, the volume in mL of the stack of 5 pennies is approximately 9.495 mL.
To determine the volume of the stack of five pennies, we need to find the volume of a single penny and then multiply it by five.
The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.
Now, let's calculate the volume of a single penny:
Given:
Height of the stack (h) = 0.72 cm
Radius of the stack (r) = 0.91 cm
To find the volume of a single penny, we need to determine its radius and height. However, this information is not given directly, so we will make a few assumptions to proceed.
Assumption:
The height of a penny is approximately its thickness, which is usually around 1.52 mm or 0.152 cm.
Let's substitute the values into the formula and calculate the volume of a single penny:
V = πr²h
V = π(0.91 cm)²(0.152 cm)
Calculating the above expression:
V ≈ 0.4157 cm³ (rounded to four decimal places)
Since we have the volume of a single penny, we can now multiply it by five to find the total volume of the stack:
Total Volume = Volume of Single Penny × Number of Pennies in Stack
Total Volume = 0.4157 cm³ × 5
Calculating the above expression:
Total Volume ≈ 2.0785 cm³ (rounded to four decimal places)
Therefore, the volume of the stack of five pennies is approximately 2.0785 cubic centimeters (cm³).