Questions: What is the volume of a right circular cylinder with its base's radius of 15.4 and height of 19.1? Use π=3.14 as needed. Round to two decimal places as needed.

What is the volume of a right circular cylinder with its base's radius of 15.4 and height of 19.1? Use π=3.14 as needed. Round to two decimal places as needed.
Transcript text: Question 2 (1 point) What is the volume of a right circular cylinder with its base's radius of 15.4 and height of 19.1 ? Use $\pi=3.14$ as needed. Round to two decimal places as needed. Your Answer: $\square$ Answer
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Solution

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Solution Steps

Step 1: Identify the Formula for the Volume of a Cylinder

The volume \( V \) of a right circular cylinder can be calculated using the formula: \[ V = \pi r^2 h \] where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

Step 2: Substitute the Given Values

Given:

  • Radius \( r = 15.4 \)
  • Height \( h = 19.1 \)
  • \(\pi = 3.14\)

Substitute these values into the formula: \[ V = 3.14 \times (15.4)^2 \times 19.1 \]

Step 3: Calculate the Volume

First, calculate \( r^2 \): \[ r^2 = (15.4)^2 = 237.16 \]

Next, calculate the volume: \[ V = 3.14 \times 237.16 \times 19.1 = 14223.43384 \]

Step 4: Round the Result

Round the volume to two decimal places: \[ V \approx 14223.43 \]

Final Answer

The volume of the right circular cylinder is \(\boxed{14223.43}\).

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