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calculate the sphere 4

sphere problem 4:


The volume of a sphere is 104 cm³.
a) calculate the radius
b) calculate the surface area

 

answer radius:

V = 4 * r³ * π : 3

104 = 4 * r³ * π : 3    / * 3

312 = 4 * r³ * π     / : 4

78 = r³ * π     / : π

24,282….  = r³       / ³√

r = 2.92 cm.

A: The radius is 2.92 cm.

 

answer surface area:

A = 4 * r² * π

A = 4 * 2.92² * π

A = 107.15 cm²

A: The surface area is 107.15 cm².