Question

problem 3
a cylinder and a cone have the same height and radius.
the height of each is 5 centimeters, and the radius is 2 centimeters.
calculate the volume of the cylinder and the cone (rounded to the nearest tenth).
use 3.14 as an approximation for π.

	volume (cu. cm)
cone

Explanation:

Step1: Calculate Cylinder Volume

The formula for the volume of a cylinder is \( V_{cylinder} = \pi r^2 h \). Given \( r = 2 \) cm, \( h = 5 \) cm, and \( \pi \approx 3.14 \).
\[
V_{cylinder} = 3.14 \times 2^2 \times 5 = 3.14 \times 4 \times 5 = 62.8
\]

Step2: Calculate Cone Volume

The formula for the volume of a cone is \( V_{cone} = \frac{1}{3} \pi r^2 h \). Using the same \( r = 2 \) cm, \( h = 5 \) cm, and \( \pi \approx 3.14 \).
\[
V_{cone} = \frac{1}{3} \times 3.14 \times 2^2 \times 5 = \frac{1}{3} \times 3.14 \times 4 \times 5 \approx 20.9
\]

Answer:

	Volume (cu. cm)
Cone	20.9