Question

1. what is the volume of a cylinder with a diameter of 2.18 cm and a height of 7.21 cm?

Explanation:

Step1: Find the radius

The diameter \( d = 2.18\space cm \), so the radius \( r=\frac{d}{2}=\frac{2.18}{2} = 1.09\space cm \)

Step2: Use the cylinder volume formula

The formula for the volume of a cylinder is \( V=\pi r^{2}h \), where \( h = 7.21\space cm \). Substitute \( r = 1.09 \) and \( h=7.21 \) into the formula:
\( V=\pi\times(1.09)^{2}\times7.21 \)
First, calculate \( (1.09)^{2}=1.1881 \)
Then, \( 1.1881\times7.21 = 8.566201 \)
Finally, \( V=\pi\times8.566201\approx3.1416\times8.566201\approx26.90\space cm^{3} \)

Answer:

The volume of the cylinder is approximately \( 26.90\space cm^{3} \) (or more precisely, using more decimal places for \( \pi \), the value can be calculated as needed, but this is a reasonable approximation).