Question

Cylinder has a base diameter of 10 inches and a height of 19 inches what is its volume in cubic meters to the nearest 10th Pl.?

Answer 1

0.02 cubic meter

Explanation:

Definition:

The volume of a cylinder is the amount of three-dimensional space that it occupies. It is calculated by multiplying the area of the base of the cylinder by its height.

To calculate the volume of the cylinder in cubic meters, we can use the following formula:

`\sf Volume = \pi r^2 h`

where:

• π is a mathematical constant with a value of approximately 3.14159
• r is the radius of the cylinder in meters
• h is the height of the cylinder in meters

In this case:

First, we need to convert the base diameter and height of the cylinder from inches to meters.

There are 0.0254 meters in 1 inch, so the base radius of the cylinder is:

d = 10 inches × 0.0254 meters/inch = 0.254 meters

Height of the radius is:

h = 19 inches × 0.0254 meters/inch = 0.4826 meters

Now,

Radius is half of the diameter. So,

`\sf Radius = (0.254)/(2)= 0.127 meter`

Now, we can calculate the volume of the cylinder in cubic meters:

Substitute the given value in above formula, we get

`\sf Volume = \pi * (0.127meter)^2* 0.4826`

`\sf Volume = 3.14 * 0.016129 * 0.4826`

`\sf Volume = 0.024453682286086`

To the nearest 10th

`\sf Volume = 0.02 \textsf{cubic meters}`

Therefore, volume of cylinder is 0.02 cubic meter.