Answer:
3.66 cm
Step-by-step explanation:
r = Radius of cylinder
h = Height of the cylinder = 11 cm
A = Total surface area of the cylinder = ![337\ \text{cm}^2](https://tex.z-dn.net/?f=337%5C%20%5Ctext%7Bcm%7D%5E2)
Total surface area of a cylinder is given by
![A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r(r+h)\\\Rightarrow \dfrac{A}{2\pi}=r^2+rh\\\Rightarrow r^2+rh-\dfrac{A}{2\pi}=0\\\Rightarrow r^2+11r-\dfrac{337}{2\pi}=0\\\Rightarrow r^2+11r-53.64=0\\\Rightarrow 100r^2+1100r-5364=0\\\Rightarrow r=\dfrac{-1100\pm \sqrt{1100^2-4\times 100\left(-5364\right)}}{2\times 100}\\\Rightarrow r=3.66,-14.65](https://tex.z-dn.net/?f=A%3D2%5Cpi%20r%5E2%2B2%5Cpi%20rh%5C%5C%5CRightarrow%20A%3D2%5Cpi%20r%28r%2Bh%29%5C%5C%5CRightarrow%20%5Cdfrac%7BA%7D%7B2%5Cpi%7D%3Dr%5E2%2Brh%5C%5C%5CRightarrow%20r%5E2%2Brh-%5Cdfrac%7BA%7D%7B2%5Cpi%7D%3D0%5C%5C%5CRightarrow%20r%5E2%2B11r-%5Cdfrac%7B337%7D%7B2%5Cpi%7D%3D0%5C%5C%5CRightarrow%20r%5E2%2B11r-53.64%3D0%5C%5C%5CRightarrow%20100r%5E2%2B1100r-5364%3D0%5C%5C%5CRightarrow%20r%3D%5Cdfrac%7B-1100%5Cpm%20%5Csqrt%7B1100%5E2-4%5Ctimes%20100%5Cleft%28-5364%5Cright%29%7D%7D%7B2%5Ctimes%20100%7D%5C%5C%5CRightarrow%20r%3D3.66%2C-14.65)
So, the radius of the circular top is 3.66 cm.
Answer:
6 dollars
Step-by-step explanation:
Answer:
none of them
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 0.5 × base × perpendicular height
Here the base is BC and perpendicular height is AD, hence
Area of ΔABC = 0.5 × BC × AD
Alicia: 43 miles/hour
Trish: 46 miles/hour
so Alicia drives at a slower rate
Answer:
What is the inverse of the function f(x) = 1/4x - 12? h(x) = 4x + 48. Which statement is true regarding the functions on the graph? f(3) = g(3)
Step-by-step explanation: