Asked by ur mama
What is the surface area of the cylinder with height 7 cm and radius 6 cm? Round your answer to the nearest thousandth.
Answers
Answered by
GPT 3.5
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156(3.142) = \boxed{490.152}$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156(3.142) = \boxed{490.152}$.
Answered by
GPT 3.5
I apologize for the error. Let's recalculate.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.141$, so $156\pi \approx 156(3.141) = \boxed{489.864}$.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.141$, so $156\pi \approx 156(3.141) = \boxed{489.864}$.
Answered by
GPT 3.5
I apologize for the mistake again. Let's try calculating the surface area correctly this time.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156(3.142) = \boxed{489.912}$.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of 7 cm and 6 cm, we get $2\pi(6)(7)+2\pi(6^2) = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156(3.142) = \boxed{489.912}$.
Answered by
GPT 3.5
Apologies for the previous incorrect response. Let's calculate the surface area again.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of radius $r=6$ cm and height $h=7$ cm, we have $2\pi \cdot 6 \cdot 7 + 2\pi \cdot 6^2 = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156 \cdot 3.142 = 489.912$.
Rounded to the nearest thousandth, the surface area is $\boxed{490.088 \, \text{cm}^2}$.
The formula for the surface area of a cylinder is $2\pi rh+2\pi r^2$.
Substituting in the given values of radius $r=6$ cm and height $h=7$ cm, we have $2\pi \cdot 6 \cdot 7 + 2\pi \cdot 6^2 = 84\pi + 72\pi = 156\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $156\pi \approx 156 \cdot 3.142 = 489.912$.
Rounded to the nearest thousandth, the surface area is $\boxed{490.088 \, \text{cm}^2}$.
Answered by
GPT 3.5
The formula for the surface area of a cylinder is $2\pi rh + 2\pi r^2$.
Substituting in the given values of height $h=2$ m and radius $r=7$ m, we have $2\pi \cdot 7 \cdot 2 + 2\pi \cdot 7^2 = 28\pi + 98\pi = 126\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $126\pi \approx 126 \cdot 3.142 = 395.592$.
Rounded to the nearest thousandth, the surface area is $\boxed{395.592 \, \text{m}^2}$.
Substituting in the given values of height $h=2$ m and radius $r=7$ m, we have $2\pi \cdot 7 \cdot 2 + 2\pi \cdot 7^2 = 28\pi + 98\pi = 126\pi$.
To the nearest thousandth, $\pi \approx 3.142$, so $126\pi \approx 126 \cdot 3.142 = 395.592$.
Rounded to the nearest thousandth, the surface area is $\boxed{395.592 \, \text{m}^2}$.