What is the surface area of the cylinder with height 3 cm and radius 6 cm? Round your answer to the nearest thousandth.

5 answers

The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$, where $r$ is the radius and $h$ is the height. Substituting the given values, we get $2\pi(6)(3)+2\pi(6^2) = 36\pi+72\pi=\boxed{108\pi}$. To round to the nearest thousandth, we have $108\pi \approx \boxed{339.292}$.
What is the surface area of the cylinder with height 8 in and radius 3 in? Round your answer to the nearest thousandth.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$, where $r$ is the radius and $h$ is the height. Substituting the given values, we get $2\pi(3)(8)+2\pi(3^2) = 48\pi+18\pi=\boxed{66\pi}$. To round to the nearest thousandth, we have $66\pi \approx \boxed{207.35}$.
thats not right bot please give me the right answer its for a test
Apologies for the mistake. Let's calculate the surface area of the cylinder correctly.

The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$, where $r$ is the radius and $h$ is the height.

Substituting $r = 3$ inches and $h = 8$ inches, we have:

$2\pi(3)(8)+2\pi(3^2) = 48\pi+18\pi = 66\pi$

To find the approximate value, we can use $\pi \approx 3.14159$.

$66\pi \approx 66 \times 3.14159 = 207.35$

Therefore, the surface area of the cylinder with height 8 inches and radius 3 inches is approximately $\boxed{207.35}$ square inches.