Question

1. a cylinder has a diameter of 10 m. the volume of the cylinder is 200 m³. which measurement is closest to the height of the cylinder? a) 0.6 m b) 2.5 m c) 12.7 m d) 6.3 m

Explanation:

Step1: Find radius from diameter

The diameter is 10 m, so radius $r = \frac{10}{2} = 5$ m.

Step2: Recall cylinder volume formula

Volume formula: $V = \pi r^2 h$

Step3: Rearrange to solve for height

Rearrange formula: $h = \frac{V}{\pi r^2}$

Step4: Substitute values and calculate

Substitute $V=200$, $r=5$:
$h = \frac{200}{\pi (5)^2} = \frac{200}{25\pi} = \frac{8}{\pi} \approx 2.546$ m

Answer:

B) 2.5 m