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

16,880.64 m3
16,880.64 meter cubed

22,155.84 m3
22,155.84 meter cubed

33,761.28 m3
33,761.28 meter cubed

88,623.36 m3
88,623.36 meter cubed

1 answer

To find the volume \( V \) of a right circular cylinder, you can use the formula:

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

where:

  • \( r \) is the radius of the cylinder,
  • \( h \) is the height of the cylinder,
  • \( \pi \) is approximately 3.14.

Given:

  • Diameter = 42 m, so Radius \( r = \frac{42}{2} = 21 \) m,
  • Height \( h = 16 \) m.

Now substituting the values into the formula:

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

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

\[ 21^2 = 441 \]

Now substitute this back into the volume formula:

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

Now calculate \( 441 \times 16 \):

\[ 441 \times 16 = 7056 \]

Now substitute this product back into the volume formula:

\[ V = 3.14 \times 7056 \]

Now calculate the final volume:

\[ V = 22173.84 \text{ m}^3 \]

Rounding to two decimal places or choosing from the given responses, the closest value is:

22,155.84 m³

Thus, the answer is: 22,155.84 m³.