CK12 - Geometry

(Marvins-Underground-K-12) #1

Diameter= ____



  1. Sphere:surfacearea is 179 in
    2
    .


Radius= ___



  1. Tennisballswith a diameterof 3.5 inchesare sold in cansof three.The can is a cylinder. Assumethe
    balls touchthe can on the sides,top and bottom.Whatis the volumeof the spacenot occupiedby the tennis
    balls?

  2. A spherehas surfacearea of 36π in^2. Find its volume.

  3. A giantscoop,operatedby a crane,is in the shapeof a hemisphereof radius= 21 inches.The scoop
    is filledwith meltedhot steel.Whenthe steelis pouredinto a cylindricalstoragetank that has a radiusof
    28 inches,the meltedsteelwill rise to a heightof how manyinches?


Answers



  1. Radius= 4.39 cm

  2. Surfacearea = 706.86cm^2


Volume= 1767.15cm^3



  1. Surfacearea = surfacearea of hemisphere+ surfacearea of cone= 678.58in^2


Volume= 2544.69in^3



  1. Volume= 268.08units^3


Surfacearea = 201.06units
2



  1. Height= 20/3 unitstotal surfacearea = 366.52units^2

  2. Diameter= 8.27 inches

  3. Radius= 3.77 inches

  4. Volumeof cylinder= 32.16πin3 volumeof tennisballs = 21.44πin^3


Volumeof spacenot occupiedby tennisballs = 33.67in^3



  1. Volume= 113.10in^3

  2. Heightof moltensteelin cylinderwill be 7.88 inches

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