Question

what is the volume of this cylinder? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a cylinder with 50 cm (diameter) and 30 cm height, a text box for answer labeled cubic centimeters, and a submit button

Explanation:

Step1: Identify the formula for the volume of a cylinder

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. From the diagram, the diameter of the base is \( 50 \) cm, so the radius \( r=\frac{50}{2}=25 \) cm, and the height \( h = 30 \) cm.

Step2: Substitute the values into the formula

Substitute \( r = 25 \), \( h=30 \), and \( \pi\approx3.14 \) into the formula:
\( V=3.14\times(25)^{2}\times30 \)
First, calculate \( (25)^{2}=625 \). Then, \( 3.14\times625 = 1962.5 \). Finally, \( 1962.5\times30=58875 \).

Answer:

\( 58875.00 \) (cubic centimeters)