Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter.
Correct answer:
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Try our complex numbers calculator.
Tip: Our volume units converter will help you convert volume units.
The Pythagorean theorem is the base for the right triangle calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Try our complex numbers calculator.
Tip: Our volume units converter will help you convert volume units.
The Pythagorean theorem is the base for the right triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- quadratic equation
- equation
- solid geometry
- sphere
- spherical cap
- planimetrics
- Pythagorean theorem
- numbers
- complex numbers
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Planetarium's 24241
The planetarium's dome is shaped like a hemisphere with a diameter of 17 m. Determine the size of the projection area - Cylinder-shaped 4410
A cylinder-shaped case is to be made for a ruler with the shape of a prism with a base in the shape of an equilateral triangle with a side length of 3 cm. What must be the smallest inner diameter of the housing? Determine the size to the nearest tenth of - Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere? - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i
- A spherical segment
The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Spherical segment
The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere which is cut in this segment. - Spherical 63214
The gas tank consists of a 16m high cylinder with a diameter of 28m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4m below the bottom of the cylinder. Please calculate the spherical surface's radius and the ca
