SOLUTION: fifty four solid hemisphere each of diameter 2 cm are me,ted to form a single sphere find the radius of the sphere

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Question 587645: fifty four solid hemisphere each of diameter 2 cm are me,ted to form a single sphere find the radius of the sphere

Found 2 solutions by nerdybill, cadaverouss:
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
fifty four solid hemisphere each of diameter 2 cm are me,ted to form a single sphere find the radius of the sphere
volume of one sphere = (4/3)(pi)r^3
.
vol of the 54 solid hemisphere = 54(4/3)(pi)2^3
vol of the 54 solid hemisphere = 18(4)(pi)8
vol of the 54 solid hemisphere = 576(pi)
.
Single sphere:
"vol of single sphere" = "vol of the 54 solid hemisphere"
(4/3)(pi)r^3 = 576(pi)
(4/3)r^3 = 576
r^3 = 576(3/4)
r^3 = 144(3)
r^3 = 432
r = cuberoot(432)
r = 7.56 cm

Answer by cadaverouss(1) (Show Source):
You can put this solution on YOUR website!
vol of the 54 solid hemisphere = 54(4/3)(pi)2^3
vol of the 54 solid hemisphere = 18(4)(pi)8
vol of the 54 solid hemisphere = 576(pi)
.
Single sphere:
"vol of single sphere" = "vol of the 54 solid hemisphere"
(4/3)(pi)r^3 = 576(pi)
(4/3)r^3 = 576
r^3 = 576(3/4)
r^3 = 144(3)
r^3 = 432
r = cuberoot(432)
r = 7.56 cm