To find the volume of a cylinder, we will use the formula

\(\displaystyle V = \pi \cdot r^2 \cdot h\)

where r is the radius, and h is the height of the cylinder.

Now, we know the height of the cylinder is 11in.

We know the diameter of the cylinder is 6in. We also know the diameter is two times the radius. Therefore, the radius is 3in.

Knowing all of this, we can substitute into the formula. We get

\(\displaystyle V = \pi \cdot (3\text{in})^2 \cdot 11\text{in}\)

\(\displaystyle V = \pi \cdot 9\text{in}^2 \cdot 11\text{in}\)

\(\displaystyle V = \pi \cdot 99\text{in}^3\)

\(\displaystyle V = 99\pi \text{ in}^3\)

Write the formula for the volume of a cylinder.

\(\displaystyle V=\pi r^2h\)

Substitute the radius and the height into the formula.

\(\displaystyle V=\pi (5^2)(20) = \pi (25)(20) = 500 \pi\)

The answer is:  \(\displaystyle 500 \pi\)

Write the formula for the volume of a cylinder.

\(\displaystyle V=\pi r^2h\)

The base of a cylinder is a circle, and the area of the circle is \(\displaystyle \pi r^2\).

This means that we can substitute the base area into the term \(\displaystyle \pi r^2\).

\(\displaystyle V=(\pi r^2)h = 4(15) = 60\)

The answer is:  \(\displaystyle 60\)

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

\(\displaystyle V = \pi r^2 h\)

where r is the radius and h is the height of the cylinder.

Now, we know the diameter of the cylinder is 6in. We know the diameter is two times the radius. Therefore, the radius is 3in.

We know the height of the cylinder is 8in.

Knowing this, we can substitute. We get

\(\displaystyle V = \pi \cdot (3\text{in})^2 \cdot 8\text{in}\)

\(\displaystyle V = \pi \cdot 9\text{in}^2 \cdot 8\text{in}\)

\(\displaystyle V = \pi \cdot 72\text{in}^3\)

\(\displaystyle V = 72\pi \text{ in}^3\)

Write the formula for the volume of the cylinder.

\(\displaystyle V=\pi r^2h\)

The base area is a circle, which is \(\displaystyle \pi r^2\), and the area is already given.

This means we can substitute the area into the formula as is.

\(\displaystyle V=\sqrt{\pi}(3)\)

The answer is:  \(\displaystyle 3\sqrt{\pi}\)

Write the formula for the area of a cylinder.

\(\displaystyle V=\pi r^2 h\)

The radius is half the diameter, of three.

Substitute the known dimensions into the formula.

\(\displaystyle V=\pi (3)^2 7 = \pi (9) 7 = 63\pi\)

The answer is:  \(\displaystyle 63\pi\)

Write the formula for the volume of a cylinder.

\(\displaystyle V=\pi r^2h\)

Substitute the radius and height into the equation.

\(\displaystyle V=\pi( 8)^2(20)= \pi( 64)(20)\)

The answer is:  \(\displaystyle 1280\pi\)

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

\(\displaystyle V = \pi r^2 h\)

where r is the radius and h is the height of the cylinder. 

We know \(\displaystyle \pi=3.14\).

We know the radius of the cylinder is 4in.

We know the height of the cylinder is 7in.

Now, we can substitute. We get

\(\displaystyle V = 3.14 \cdot (4\text{in})^2 \cdot 7\text{in}\)

\(\displaystyle V = 3.14 \cdot 16\text{in}^2 \cdot 7\text{in}\)

\(\displaystyle V = 3.14 \cdot 112\text{in}^3\)

\(\displaystyle V = 351.68\text{in}^3\)

Write the volume formula for the cylinder. The area of the base is a circle or \(\displaystyle \pi r^2\).

 \(\displaystyle V =\pi r^2h =Bh\)

Substitute the base and height.

\(\displaystyle V =(15)(10) = 150\)

The volume is:  \(\displaystyle 150\)

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

\(\displaystyle V = \pi r^2 h\)

where r is the radius and h is the height of the cylinder. 

Now, we know \(\displaystyle \pi = 3.14\). We know the radius of the cylinder is 4cm. We know the height of the cylinder is 6cm. So, we substitute. We get

\(\displaystyle V = 3.14 \cdot (4\text{cm})^2 \cdot 6\text{cm}\)

\(\displaystyle V = 3.14 \cdot 16\text{cm}^2 \cdot 6\text{cm}\)

\(\displaystyle V = 3.14 \cdot 96\text{cm}^3\)

\(\displaystyle V = 301.44\text{cm}^3\)