# Stadium

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.

**Result****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 m^{3}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

Equation ? has one root x_{1}= 8. Determine the coefficient b and the second root x_{2}. - 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? - Discriminant

Determine the discriminant of the equation: ? - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Complex number coordinates

Which coordinates show the location of -2+3i - Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ? - Solve 3

Solve quadratic equation: (6n+1) (4n-1) = 3n^{2} - Linear imaginary equation

Given that ? "this is z star" Find the value of the complex number z. - Catheti

The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs. - Quadratic equation

Quadratic equation ? has roots x_{1}= 80 and x_{2}= 78. Calculate the coefficients b and c. - Reciprocal equation 2

Solve this equation: x + 5/x - 6 = 4/11 - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 19 cm. - Quadratic inequation

If 5x + x² > 100, then x is not - Tubes

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?