Question

a cylinder has a radius of 2 yards. its volume is 25.12 cubic yards. what is the height of the cylinder? round your answer to the nearest hundredth. h ≈ \boxed{} yards submit

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$
Given $V=25.12$, $r=2$, $\pi\approx3.14$

Step2: Solve for height $h$

Rearrange formula: $h = \frac{V}{\pi r^2}$
Substitute values: $h = \frac{25.12}{3.14 \times 2^2}$

Step3: Calculate denominator

$3.14 \times 4 = 12.56$

Step4: Compute $h$

$h = \frac{25.12}{12.56} = 2.00$

Answer:

2.00