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The volume of a right circular cylinder can be approximated as follows:

[tex]\[ \text{Volume} = \pi r^2 h \][/tex]

where [tex]\( r \)[/tex] is the radius of the cylinder, [tex]\( h \)[/tex] is the height of the cylinder, and [tex]\(\pi\)[/tex] is a constant that is roughly equal to 3.

Using the simple approximation above, calculate the volume of a right circular cylinder with a radius of 3 meters and a height of 5 meters.

A. [tex]\( 675 \, \text{m}^3 \)[/tex]
B. [tex]\( 405 \, \text{m}^3 \)[/tex]
C. [tex]\( 135 \, \text{m}^3 \)[/tex]
D. [tex]\( 2,025 \, \text{m}^3 \)[/tex]



Answer :

GinnyAnswer
To find the volume of a right circular cylinder with a radius of 3 meters and a height of 5 meters, we can use the formula for the volume of a cylinder:

[tex]\[ \text{Volume} = \pi r^2 h \][/tex]

Given the constants:
- Radius [tex]\( r = 3 \)[/tex] meters
- Height [tex]\( h = 5 \)[/tex] meters
- [tex]\(\pi\)[/tex] is approximately equal to 3

Let's break down the calculation step by step:

1. First, we need to square the radius:
[tex]\[ r^2 = 3^2 = 9 \][/tex]

2. Next, we need to multiply [tex]\(\pi\)[/tex] by the squared radius:
[tex]\[ \pi \times r^2 = 3 \times 9 = 27 \][/tex]

3. Finally, we need to multiply this result by the height [tex]\(h\)[/tex]:
[tex]\[ \text{Volume} = 27 \times 5 = 135 \][/tex]

Therefore, the volume of the right circular cylinder is [tex]\( 135 \)[/tex] cubic meters.

The correct answer is:
C. [tex]\( 135 \, m^3 \)[/tex]