## How do you find the volume of a solid in calculus?

V = π r 2 h . Figure 6.11 Each cross-section of a particular cylinder is identical to the others. If a solid does not have a constant cross-section (and it is not one of the other basic solids), we may not have a formula for its volume. In this case, we can use a definite integral to calculate the volume of the solid.

### Does solid have volume?

Solids have a definite volume and shape because particles in a solid vibrate around fixed locations.

**How do you find the volume of a solid generated by revolving?**

Answer: The volume of a solid rotated about the y-axis can be calculated by V = π∫dc[f(y)]2dy. Let us go through the explanation to understand better. The disk method is predominantly used when we rotate any particular curve around the x or y-axis.

**What is the volume of the solid generated?**

Answer: The volume of a solid rotated about the y-axis can be calculated by V = π∫dc[f(y)]2dy. Let us go through the explanation to understand better. The disk method is predominantly used when we rotate any particular curve around the x or y-axis. Suppose a function x = f(y), which is rotated about the y-axis.

## What is volume of rectangle?

The equation for calculating the volume of a rectangle is shown below: volume= length × width × height.

### Is a solids volume fixed?

have a fixed volume and a fixed shape. cannot be compressed , because their particles are close together and have no space to move into.

**How do you find the volume of a solid?**

Example 4 Determine the volume of the solid obtained by rotating the region bounded by y = 2√x −1 y = 2 x − 1 and y = x−1 y = x − 1 about the line x =−1 x = − 1 . As with the previous examples, let’s first graph the bounded region and the solid.

**What is the formula for the volume of a cylinder?**

V = π r 2 h. V = π r 2 h. Figure 2.11 Each cross-section of a particular cylinder is identical to the others. If a solid does not have a constant cross-section (and it is not one of the other basic solids), we may not have a formula for its volume.

## How do you find the volume of a sphere?

The volume of a rectangular solid, for example, can be computed by multiplying length, width, and height: V = l w h. V = l w h. The formulas for the volume of a sphere ( V = 1 3 A h) have also been introduced.

### How do you find the volume of a solid on x-axis?

Because the cross sectional area is a quarter of a circle with a radius of 2x, we find Let R be the region between the graph of and the x-axis on the interval . Find the volume V of the solid obtained by revolving R about the x-axis.