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

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 \( \boxed{126\pi \, \text{cm}^3} \).