29.5k views
5 votes
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...

2 Answers

4 votes
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
User Manish Patiyal
by
8.2k points
7 votes

Answer: The volume of the given stack is 1.872 mL.

Step-by-step 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* (0.91cm)^2* 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.

User HereForLearing
by
8.8k points