Geometry: Volume of a Cylinder

Flashcards covering key formulas and worked example problems for calculating the volume and dimensions of a cylinder from handwritten lecture notes.

Area of a circle

The formula represented by $\pi r^2$, which gives the area of the circular base of a cylinder.

Volume of a cylinder

The measure of space inside a cylinder, calculated using the formula $\pi r^2 h$ (base area multiplied by height).

Cylinder volume calculation ($r = 4.8\,\text{cm}$, $h = 7.9\,\text{cm}$)

The numerical calculation $\pi \times 4.8^2 \times 7.9$, yielding $571.8$ (or rounded to $572$).

Height calculation setup ($\text{Volume} = 1600\,\text{cm}^3$, $r = 8\,\text{cm}$)

The equation set up as $\pi \times 8^2 \times h = 1600$ used to solve for the unknown height $h$ given a known volume and radius.