Sphere and cone

Within the sphere of radius G = 33 cm inscribe cone with largest volume. What is that volume and what are the dimensions of the cone?

Result

r =  31.11 cm
h =  44 cm
V =  44602.24 cm3

Solution:

Solution in text r =
Solution in text r = : Nr. 1
Solution in text h =
Solution in text V =

Checkout calculation with our calculator of quadratic equations.








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

Showing 1 comment:
#2
Dr Math
that's very mind blowing

avatar









Looking for help with calculating roots of a quadratic equation? Pythagorean theorem is the base for the right triangle calculator.

Next similar examples:

  1. Cube in sphere
    sphere4 The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
  2. Truncated cone 5
    truncated_cone The height of a cone 7 cm and the length of side is 10 cm and the lower radius is 3cm. What could the possible answer for the upper radius of truncated cone?
  3. Cone
    diag22 Into rotating cone with dimensions r = 8 cm and h = 8 cm incribe cylinder with maximum volume so that the cylinder axis is perpendicular to the axis of the cone. Determine the dimensions of the cylinder.
  4. RT and circles
    r_triangle Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
  5. Euclid2
    euclid In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
  6. Inverse matrix
    matrix_3 Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
  7. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  8. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  9. Theorem prove
    thales_1 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?
  10. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  11. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  12. Catheti
    pyt_theorem The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
  13. Euclidean distance
    euclidean Calculate the Euclidean distance between shops A, B and C, where: A 45 0.05 B 60 0.05 C 52 0.09 Wherein the first figure is the weight in grams of bread and second figure is price in USD.
  14. ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  15. Derivation
    fx Exists a function whose derivation is the same function?
  16. Vector 7
    vectors_sum0_1 Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
  17. Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?