Question
Surface area of cylinder using 3.14 with height of 40 and radius of 25
Answers
GPT-4o mini
To calculate the surface area of a cylinder, you can use the formula:
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- Height \( h = 40 \)
- Radius \( r = 25 \)
Now, substituting the values into the formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 25 \times (40 + 25)
\]
Calculating the expression inside the parentheses:
\[
40 + 25 = 65
\]
Now substitute it back into the formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 25 \times 65
\]
Now calculate:
1. \( 2 \times 3.14 = 6.28 \)
2. \( 25 \times 65 = 1625 \)
3. \( 6.28 \times 1625 = 10283.75 \)
Thus, the total surface area of the cylinder is:
\[
\text{Surface Area} \approx 10283.75 \text{ square units}
\]
\[
\text{Surface Area} = 2\pi r(h + r)
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- Height \( h = 40 \)
- Radius \( r = 25 \)
Now, substituting the values into the formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 25 \times (40 + 25)
\]
Calculating the expression inside the parentheses:
\[
40 + 25 = 65
\]
Now substitute it back into the formula:
\[
\text{Surface Area} = 2 \times 3.14 \times 25 \times 65
\]
Now calculate:
1. \( 2 \times 3.14 = 6.28 \)
2. \( 25 \times 65 = 1625 \)
3. \( 6.28 \times 1625 = 10283.75 \)
Thus, the total surface area of the cylinder is:
\[
\text{Surface Area} \approx 10283.75 \text{ square units}
\]