Question

what is the surface area of this cylinder use pi = 3.14 and round you're answer to the nearest hundredth the radius is 10yd and the height is 7yd square yards?

Answer 1

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

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

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

Given:
- \( r = 10 \) yards,
- \( h = 7 \) yards.

Now we can substitute \( r \) and \( h \) into the formula:

1. Calculate \( 2\pi r^2 \):
\[
2\pi r^2 = 2 \times 3.14 \times (10)^2 = 2 \times 3.14 \times 100 = 628 \text{ square yards}
\]

2. Calculate \( 2\pi rh \):
\[
2\pi rh = 2 \times 3.14 \times 10 \times 7 = 2 \times 3.14 \times 70 = 439.6 \text{ square yards}
\]

3. Now add both areas together to get the total surface area:
\[
\text{Total Surface Area} = 628 + 439.6 = 1067.6 \text{ square yards}
\]

Finally, rounding to the nearest hundredth, the surface area of the cylinder is:

\[
\text{Surface Area} \approx 1067.60 \text{ square yards}
\]