Question

find the area of a cilider with radius s hight 4

Answer 1

radius 2

Answer 2

find valume of cilinder with radius 3 hight 8

Answer 3

To find the surface area of a cylinder, you can use the formula:

\[
A = 2\pi r(h + r)
\]

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

Given:
- Radius \( r = s \)
- Height \( h = 4 \)

Substituting these values into the formula:

\[
A = 2\pi s(4 + s)
\]

So, the area of the cylinder is:

\[
A = 2\pi s(4 + s) = 8\pi s + 2\pi s^2
\]

This expression represents the surface area of the cylinder in terms of the radius \( s \).

Answer 4

Given the radius \( r = 2 \) and height \( h = 4 \), we can calculate the surface area of the cylinder using the formula:

\[
A = 2\pi r(h + r)
\]

Substituting the values:

- \( r = 2 \)
- \( h = 4 \)

\[
A = 2\pi (2)(4 + 2)
\]

Calculating \( 4 + 2 \):

\[
4 + 2 = 6
\]

Now substitute back into the area formula:

\[
A = 2\pi (2)(6) = 2\pi \times 2 \times 6 = 24\pi
\]

Therefore, the surface area of the cylinder is:

\[
A = 24\pi \quad \text{square units.}
\]

If you need a numerical approximation, you can use \( \pi \approx 3.14 \):

\[
A \approx 24 \times 3.14 \approx 75.36 \quad \text{square units.}
\]

Answer 5

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

\[
V = \pi r^2 h
\]

where:
- \( r \) is the radius,
- \( h \) is the height.

Given:
- Radius \( r = 3 \)
- Height \( h = 8 \)

Substituting these values into the formula:

\[
V = \pi (3^2)(8)
\]

Calculating \( 3^2 \):

\[
3^2 = 9
\]

Now substitute back into the volume formula:

\[
V = \pi (9)(8) = 72\pi
\]

Therefore, the volume of the cylinder is:

\[
V = 72\pi \quad \text{cubic units.}
\]

If you want a numerical approximation, using \( \pi \approx 3.14 \):

\[
V \approx 72 \times 3.14 \approx 226.08 \quad \text{cubic units.}
\]

So, the volume of the cylinder is approximately \( 226.08 \) cubic units.