Question

find the surface area of the cylinder use the approximation 3.14 for pi 2yd,3yd

Answer 1

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

\[
\text{Surface Area} = 2\pi r^2 + 2\pi rh
\]

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

From your question, it looks like you might be providing dimensions in the form \( 2y \, d \) and \( 3y \, d \). I will assume:
- The diameter of the base of the cylinder is \( 2y \, d \), which means the radius \( r \) is \( y \, d \).
- The height \( h \) of the cylinder is \( 3y \, d \).

Now, substituting in the values:
- \( r = y \, d \)
- \( h = 3y \, d \)

Now substitute these into the surface area formula:

\[
\text{Surface Area} = 2\pi (y \, d)^2 + 2\pi (y \, d)(3y \, d)
\]

Calculating each term:

1. Calculate \( 2\pi (y \, d)^2 \):
\[
2\pi (y \, d)^2 = 2\pi y^2 d^2
\]

2. Calculate \( 2\pi (y \, d)(3y \, d) \):
\[
2\pi (y \, d)(3y \, d) = 6\pi y^2 d^2
\]

Combine these together:

\[
\text{Surface Area} = 2\pi y^2 d^2 + 6\pi y^2 d^2 = 8\pi y^2 d^2
\]

Now substitute \( \pi \) with \( 3.14 \):

\[
\text{Surface Area} = 8 \times 3.14 \times y^2 d^2
\]

Calculating \( 8 \times 3.14 \):

\[
8 \times 3.14 = 25.12
\]

Thus, the surface area is:

\[
\text{Surface Area} = 25.12 y^2 d^2
\]

So, the surface area of the cylinder is \( 25.12 y^2 d^2 \).

Answer 2

wrong