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: Equation is non-linear.
Equation is not quadratic. h1 = 88.6933426414
h2 = -44.34667132+270.92412549i
h3 = -44.34667132-270.92412549i

Calculated by our simple equation calculator.

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

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? Try our complex numbers calculator. Tip: Our volume units converter will help you with the conversion of volume units. Pythagorean theorem is the base for the right triangle calculator.

Next similar math problems:

1. 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.
2. 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?
3. 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? Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
5. Linear imaginary equation Given that ? "this is z star" Find the value of the complex number z.
6. Roots Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
7. Equation Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
8. Solve 3 Solve quadratic equation: (6n+1) (4n-1) = 3n2
9. Discriminant Determine the discriminant of the equation: ?
10. Complex number coordinates Which coordinates show the location of -2+3i
11. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
12. Catheti The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
13. Cinema 4 In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
14. Reciprocal equation 2 Solve this equation: x + 5/x - 6 = 4/11
15. Square root 2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
16. Variable Find variable P: PP plus P x P plus P = 160
17. ABS CN Calculate the absolute value of complex number -15-29i.