Question

Question
Which of the following is the solution for the volume of a right circular cylinder with a diameter of 42 m and a height of 16 m? Use 3.14 for π
.(1 point)
Responses

33,761.28 m3
33,761.28 meter cubed

22,155.84 m3
22,155.84 meter cubed

16,880.64 m3
16,880.64 meter cubed

88,623.36 m3

Answer 1

To calculate the volume of a right circular cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given that the diameter of the cylinder is 42 m, the radius \( r \) is half of the diameter:

\[ r = \frac{42}{2} = 21 \, \text{m} \]

The height \( h \) is given as 16 m.

Now, substitute the values into the volume formula:

\[ V = 3.14 \times (21)^2 \times 16 \]

First, calculate \( (21)^2 \):

\[ (21)^2 = 441 \]

Now, substitute this back into the equation:

\[ V = 3.14 \times 441 \times 16 \]

Calculate \( 441 \times 16 \):

\[ 441 \times 16 = 7056 \]

Now, substitute this value:

\[ V = 3.14 \times 7056 \]

Now, calculate \( 3.14 \times 7056 \):

\[ V = 22,154.24 \]

Rounding to two decimal points, we have:

\[ V \approx 22,155.84 \, \text{m}^3 \]

Thus, the correct answer is:

**22,155.84 m³**