Question

connection to real life you use an inch ruler to measure the dimensions of a cylindrical can. estimate the volume.

Explanation:

Answer:

To estimate the volume of the cylindrical can, we first determine the radius and height from the ruler measurements:

• Diameter of the top (circle): From the top view, the ruler shows the diameter is approximately 3 inches (since it spans from ~0 to ~3 inches). Thus, the radius \( r = \frac{3}{2} = 1.5 \) inches.
• Height of the cylinder: From the side view, the ruler shows the height spans from ~2 to ~4 inches, so the height \( h = 4 - 2 = 2 \) inches.

The formula for the volume \( V \) of a cylinder is \( V = \pi r^2 h \). Substituting \( r = 1.5 \) and \( h = 2 \):

\[
V = \pi (1.5)^2 (2) = \pi (2.25)(2) = 4.5\pi \approx 14.14 \text{ cubic inches}
\]

(If using \( \pi \approx 3.14 \), \( V \approx 4.5 \times 3.14 = 14.13 \) cubic inches.)