the given figure is a cylinder. the radius of...
the given figure is a cylinder. the radius of the cylinder is 8.5 centimeters and the height of the cylinder is 26.8 centimeters. what is the volume of the cylinder? use the given information to complete the worksheet. use 3.14 as an approximation for π. hint: the volume of a cylinder can be calculated using the formula v = bh, where v is the volume, b is the area of the base, and h is the height. substitute the values you know for the area of the base (b = 226.865) and the height (h = 26.8) into the volume formula.
Answer
# Explanation:
## Step1: Calculate the area of the base
The base of a cylinder is a circle. The formula for the area of a circle is $B=\pi r^{2}$. Given $r = 8.5$ cm and $\pi=3.14$, we have $B = 3.14\times8.5^{2}=3.14\times72.25 = 226.865$ $cm^{2}$.
## Step2: Calculate the volume of the cylinder
The volume formula of a cylinder is $V = Bh$. We know $B = 226.865$ $cm^{2}$ and $h=26.8$ cm. So $V=226.865\times26.8 = 6080.982$ $cm^{3}$.
# Answer:
$6080.982$ $cm^{3}$