A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:
Be the first to comment!
To solve this example are needed these knowledge from mathematics:
Next similar examples:
- Swimming pool
The pool shape of cuboid is 299 m3 full of water. Determine the dimensions of its bottom if water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
- Hemispherical hollow
The vessel hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the inside diameter of the hollow is d = 28cm?
- Spherical tank
The tank of a water tower is a sphere of radius 35ft. If the tank is filled to one quarter of full, what is the height of the water?
- Equation with abs value
How many solutions has the equation ? in the real numbers?
- Quadratic equation
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
- Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
- Complex number coordinates
Which coordinates show the location of -2+3i
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
- Linear imaginary equation
Given that ? "this is z star" Find the value of the complex number z.
Determine the discriminant of the equation: ?
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
- Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
- Quadratic inequation
If 5x + x² > 100, then x is not
- ABS CN
Calculate the absolute value of complex number -15-29i.
- Reciprocal equation 2
Solve this equation: x + 5/x - 6 = 4/11
Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?