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...
When pennies are stacked, the shape they forms would be a cylinder. The volume of a cylinder is calculated as follows:
V = pi(r^2)h
V = pi (0.91 cm)^2 (0.72 cm)
V = 1.873 cm^3 ( 1 mL / 1cm^3 )
V = 0.873 mL
Answer: The volume of the given stack is 1.872 mL.
Explanation:
The stack of 5 pennies will end up in the shape of cylinder.
To calculate the volume of the stack, we use the formula for volume of the cylinder, which is:
\(\text{Volume of cylinder}=\pi r^2h\)
where,
r = radius of the cylinder = 0.91 cm
h = height of the cylinder = 0.72 cm
Putting values in above equation, we get:
\(\text{Volume of cylinder}=3.14\times (0.91cm)^2\times 0.72cm=1.872cm^3\)
Now, to convert it into mili liters, we use the conversion factor:
\(1cm^3=1mL\)
So, \(1.872cm^3=1.872mL\)
Hence, the volume of the given stack is 1.872 mL.