Answer:
Volume = 2384.582 cm^3
Surface Area = 189.626 cm^2
Step-by-step explanation:
With the accuracy of r within 0.6 cm minimum & maximum values are 25-0.3 and 25+0.3 respectively.
Taking r = 25 cm
Volume = (4/3)*Pi*R3 = 65449.847
Surface Area = 4*Pi*R2 = 7853.982
The minimum possible values for Volume and surface area would be:
if r = 24.7 cm
Volume = (4/3)*Pi*R3 = 63121.814 cm^3
Surface Area = 4*Pi*R2 = 7666.617 cm^2
The maximum possible values for Volume and surface area would be:
if r = 25.3 cm
Volume = (4/3)*Pi*R3 = 67834.429 cm^3
Surface Area = 4*Pi*R2 = 8043.608 cm^2
Error from Minimum values:
Volume = 2328.033 cm^3
Surface Area = 187.365 cm^2
Error from Maximum values:
Volume = 2384.582 cm^3
Surface Area = 189.626 cm^2
Answer:
Step-by-step explanation:
Answer:
Horizontal distance = 0 m and 6 m
Step-by-step explanation:
Height of a rider in a roller coaster has been defined by the equation,
y = 
Here x = rider's horizontal distance from the start of the ride
i). 
![=\frac{1}{3}[x^{2}-2(3x)+9-9+24]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Bx%5E%7B2%7D-2%283x%29%2B9-9%2B24%5D)
![=\frac{1}{3}[(x^{2}-2(3x)+9)+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x%5E%7B2%7D-2%283x%29%2B9%29%2B15%5D)
![=\frac{1}{3}[(x-3)^2+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x-3%29%5E2%2B15%5D)
ii). Since, the parabolic graph for the given equation opens upwards,
Vertex of the parabola will be the lowest point of the rider on the roller coaster.
From the equation,
Vertex → (3, 5)
Therefore, minimum height of the rider will be the y-coordinate of the vertex.
Minimum height of the rider = 5 m
iii). If h = 8 m,
(x - 3)² = 9
x = 3 ± 3
x = 0, 6 m
Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m
Answer:
(-∞,0)
Step-by-step explanation:
Graph y=|x|
Note that the graph is shaped like a V. The left half of the graph is decreasing from -∞ up until 0 when it hits the origin and starts to increase. Put this into interval notation: (-∞,0).
