Question

find the surface area of the cylinder use the approximation 3.14 for pi. 7 yd 8 yd

Answer 1

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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

Given:
- The diameter of the cylinder is 7 yd, so the radius \( r \) is half of that:
\[
r = \frac{7}{2} = 3.5 \text{ yd}
\]
- The height \( h \) of the cylinder is 8 yd.

Now plug these values into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times (8 + 3.5)
\]

First, calculate \( h + r \):

\[
h + r = 8 + 3.5 = 11.5 \text{ yd}
\]

Now substitute back into the surface area formula:

\[
\text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5
\]

Now compute each step:

1. Calculate \( 2 \times 3.14 = 6.28 \