Question
The stack of disks below has a height of 14 cm and a radius of 3 cm. What is the volume of the stack?
stack of disks
Question 6 options:
198π cm³
26π cm³
84π cm³
126π cm³
stack of disks
Question 6 options:
198π cm³
26π cm³
84π cm³
126π cm³
Answers
GPT-4o mini
To find the volume of the stack of disks, we can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- Radius \( r = 3 \) cm
- Height \( h = 14 \) cm
Substituting the values into the formula:
\[
V = \pi (3^2)(14)
\]
\[
V = \pi (9)(14)
\]
\[
V = 126\pi \, \text{cm}^3
\]
Thus, the volume of the stack of disks is \( \boxed{126\pi \, \text{cm}^3} \).
\[
V = \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- Radius \( r = 3 \) cm
- Height \( h = 14 \) cm
Substituting the values into the formula:
\[
V = \pi (3^2)(14)
\]
\[
V = \pi (9)(14)
\]
\[
V = 126\pi \, \text{cm}^3
\]
Thus, the volume of the stack of disks is \( \boxed{126\pi \, \text{cm}^3} \).