Question

1. the height of a cylinder with a volume of 314 cm³ and a radius of 5 cm is _____.

a. 15 cm
b. 4 cm
c. 10 cm
d. 5 cm

Explanation:

Step1: Recall volume formula

The volume formula of a cylinder is $V = \pi r^{2}h$, where $V$ is volume, $r$ is radius and $h$ is height.

Step2: Rearrange formula for height

We can rewrite the formula to solve for $h$: $h=\frac{V}{\pi r^{2}}$.

Step3: Substitute given values

Given $V = 314\ cm^{3}$ and $r = 5\ cm$. Substitute into the formula: $h=\frac{314}{\pi\times5^{2}}$.
Since $\pi\approx3.14$, then $h=\frac{314}{3.14\times25}=\frac{314}{78.5}=4\ cm$.

Answer:

B. 4 cm