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 \