onubac1984 onubac1984
  • 03-11-2019
  • Mathematics
contestada

The volume of a sphere is 904.32 cm3, find its radius and hence its curved surface area​

Respuesta :

IuliusCaesar
IuliusCaesar IuliusCaesar
  • 03-11-2019

Volume = [tex]\frac{4}{3}[/tex] * π * r³ = 904.32 cm³

radius = [tex]\sqrt[3]{\frac{3*Volume}{4 * pi} }[/tex] cm=

= [tex]\sqrt[3]{\frac{3 * 904.32}{4 * 3.14} }[/tex] cm=

= [tex]\sqrt[3]{\frac{2712,96}{12.56} }[/tex] cm=

= [tex]\sqrt[3]{216}[/tex] cm=

radius = 6 cm

surface = 4 * π * r² cm² =

= 4 * π * 6² cm² =

= 4 * 3.14 * 36 cm² =

=  452,16 cm²

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