Spherical segment

Spherical segment with height h=5 has a volume V=117. Calculate the radius of the sphere of which is cut this segment.

Correct result:

r =  3.16

Solution:

h=5 V=117  V=13πh2(3rh)  r=Vπ h2+h/3=1173.1416 52+5/3=3.16h=5 \ \\ V=117 \ \\ \ \\ V=\dfrac{ 1 }{ 3 } \pi h^2(3r-h) \ \\ \ \\ r=\dfrac{ V }{ \pi \cdot \ h^2 } + h/3=\dfrac{ 117 }{ 3.1416 \cdot \ 5^2 } + 5/3=3.16



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!


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

Showing 1 comment:
#
Math student
Can you show the step by step process

avatar






Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Next similar math problems:

  • Hemisphere cut
    odsek_gule Calculate the volume of the spherical layer that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
  • Spherical segment
    SphericalSegment_1000 Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, the upper base 60 cm.
  • Hemispherical hollow
    odsek 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?
  • Gasholder
    gas_holder The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
  • Spherical tank
    spherical-tanks 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?
  • Expression with powers
    eq222_9 If x-1/x=5, find the value of x4+1/x4
  • Cuboid height
    kvader11_8 What is the height of the cuboid if the edges of its base are 15 cm and 4 cm long and its volume is 420 cm cubic?
  • Hollow sphere
    sphere2 The volume of the hollow ball is 3432 cm3. What is its internal radius when the wall thickness is 3 cm?
  • Volume of ball
    ball1_5 Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
  • Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  • Cube corners
    polyhedra-truncated-cube From cube of edge 5 cm cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
  • Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  • Holidays - on pool
    pool_4 Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
  • Mean
    avg A student food the mean of 50 items as 38.6. When checking the work he found that he had taken one item as 50 why it should correctly read as 40 in this circumstances. What should be the correct mean?
  • One half
    one_half One half of ? is: ?
  • Powers
    1power Express the expression ? as the n-th power of the base 10.
  • Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)