A cylinder has a base dlameter of 14 in and a height of 10 in . What is its volume in cubic In, to the nearest tenths place?

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To find the volume of a cylinder, we can use the formula:

$$ V = \pi r^2 h $$

where:
- $$ V $$ is the volume of the cylinder,
- $$ r $$ is the radius of the base of the cylinder,
- $$ h $$ is the height of the cylinder.

Given that the base diameter of the cylinder is 14 inches, we can find the radius by dividing the diameter by 2:

$$ r = \frac{14}{2} = 7 \text{ inches} $$

Now, we can substitute the values into the formula to find the volume:

$$ V = \pi (7)^2 (10) $$

Let's calculate the volume.
Calculate the value by following steps:
- step0: Calculate:
  $$\pi \times 7^{2}\times 10$$
- step1: Multiply the terms:
  $$49\pi \times 10$$
- step2: Multiply the terms:
  $$490\pi $$
The volume of the cylinder is approximately 1539.3804 cubic inches.

To the nearest tenth place, the volume is 1539.4 cubic inches.
The volume of the cylinder is approximately 1539.4 cubic inches.

A cylinder has a base dlameter of 14 in and a height of 10 in . What is its volume in cubic In, to the nearest tenths place?

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