Question

volume of a cylinder
question
a cylinder has a base diameter of 6 meters and a height of 5 meters. what is its volume in cubic meters, to the nearest tenths place?
answer attempt 2 out of 2
v =
141.3
m³
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Explanation:

Step1: Find the radius of the base

The diameter of the base is 6 meters, so the radius \( r \) is half of the diameter.
\( r = \frac{6}{2} = 3 \) meters.

Step2: Recall 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 of the base and \( h \) is the height of the cylinder.

Step3: Substitute the values of \( r \) and \( h \) into the formula

We know \( r = 3 \) meters and \( h = 5 \) meters. Substituting these values into the formula:
\( V = \pi \times (3)^2 \times 5 \)
First, calculate \( (3)^2 = 9 \). Then, multiply by 5: \( 9 \times 5 = 45 \). So, \( V = \pi \times 45 \).
Using \( \pi \approx 3.14 \), we get \( V \approx 3.14 \times 45 = 141.3 \) cubic meters.

Answer:

141.3