Cylinder (A):
-Surface area: adding all areas of all faces of the shape.
*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2
Total surface area: 60 + 56.55 = 116.55m^2
-Volume: 3.14 x r^2 x h, then substitute.
*3.14 x 3^2 x 10 = 282.74m^3
(B):
-surface area:
*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.
Total surface area: 77 + 55 + 121 + 35 = 288 cm^2
-Volume:
*7 x 5 x 11 = 385 cm^3
Make sure to check the units!!!
Hope this helped :)
B is the correct answer 12
Answer: just simplify condense it then your answer will be log(16)
Answer: ![(x +7)^2 + y^2 = 27](https://tex.z-dn.net/?f=%28x%20%2B7%29%5E2%20%2B%20y%5E2%20%3D%2027)
Step-by-step explanation:
The standard form of a circle is written as such:
![(x - h)^2 + (y - k)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20h%29%5E2%20%2B%20%28y%20-%20k%29%5E2%20%3D%20r%5E2)
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this: ![(x +7)^2 + y^2 = r^2](https://tex.z-dn.net/?f=%28x%20%2B7%29%5E2%20%2B%20y%5E2%20%3D%20r%5E2)
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
![3^2 * \sqrt{3} ^2 = 9 * 3](https://tex.z-dn.net/?f=3%5E2%20%2A%20%5Csqrt%7B3%7D%20%5E2%20%3D%209%20%2A%203)
So, your standard form equation is the following:
![(x +7)^2 + y^2 = 27](https://tex.z-dn.net/?f=%28x%20%2B7%29%5E2%20%2B%20y%5E2%20%3D%2027)
6 x 60 x 5 would be the equation and all of that put together would be 1,800 vehicles would pass by in an hour.