Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 34 yd 20 yd

Explanation:

Step1: Identify formula for cylinder volume

The formula for the volume \( V \) of a cylinder is \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Determine radius and height

From the diagram, the diameter is 34 yd, so the radius \( r=\frac{34}{2}=17 \) yd, and the height \( h = 20 \) yd.

Step3: Substitute values into formula

Substitute \( r = 17 \) and \( h = 20 \) into the formula: \( V=\pi\times(17)^2\times20 \).
First, calculate \( 17^2 = 289 \). Then, \( 289\times20 = 5780 \). So, \( V=\pi\times5780 \approx 3.14159\times5780 \).

Step4: Calculate the volume

\( 3.14159\times5780 \approx 18151.40 \) (rounded to the nearest hundredth).

Answer:

18151.40