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

x =  88.7 m

Solution:

Solution in text x =

Equation is non-linear.
Equation is not quadratic.
h**3+67500h-6684507.60899=0 $    $  :  Nr. 1
h1 = 88.6933426414
h2 = -44.3466713+270.9241255i
h3 = -44.3466713-270.9241255i

Calculated by our simple equation calculator.








Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Pythagorean theorem is the base for the right triangle calculator. Looking for help with calculating roots of a quadratic equation? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Tip: Our volume units converter will help you with converion of volume units. Try our complex numbers calculator.

Next similar examples:

  1. Goniometric form
    complex_fnc Determine goniometric form of a complex number ?.
  2. Linear imaginary equation
    cplx_function Given that ? "this is z star" Find the value of the complex number z.
  3. Bearing
    compass A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.
  4. Moivre 2
    moivre_complex Find the cube roots of 125(cos 288° + i sin 288°).
  5. ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  6. Reciprocal
    complex_numbers Calculate reciprocal of z=0.8+0.6i:
  7. Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  8. Im>0?
    ReIm Is 6i a positive number?
  9. De Moivre's formula
    sqrt3_complex There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
  10. Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
  11. Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  12. Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i