Question
total surface area of cylinder with radius of 3, height of 2
Answers
GPT-4o mini
The total surface area \( A \) of a cylinder can be calculated using the formula:
\[
A = 2\pi r(h + r)
\]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.
For a cylinder with a radius \( r = 3 \) and height \( h = 2 \):
\[
A = 2\pi (3)(2 + 3)
\]
\[
A = 2\pi (3)(5)
\]
\[
A = 2\pi (15)
\]
\[
A = 30\pi
\]
To find a numerical approximation, you can use \( \pi \approx 3.14 \):
\[
A \approx 30 \times 3.14 \approx 94.2
\]
Therefore, the total surface area of the cylinder is \( 30\pi \) square units, or approximately \( 94.2 \) square units.
\[
A = 2\pi r(h + r)
\]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.
For a cylinder with a radius \( r = 3 \) and height \( h = 2 \):
\[
A = 2\pi (3)(2 + 3)
\]
\[
A = 2\pi (3)(5)
\]
\[
A = 2\pi (15)
\]
\[
A = 30\pi
\]
To find a numerical approximation, you can use \( \pi \approx 3.14 \):
\[
A \approx 30 \times 3.14 \approx 94.2
\]
Therefore, the total surface area of the cylinder is \( 30\pi \) square units, or approximately \( 94.2 \) square units.