lexiczapiewski lexiczapiewski
  • 23-06-2021
  • Mathematics
contestada

Which equation gives the volume of the sphere?
O V=2/3(27ń)
O V=4/3(27)
O V= 2/3 (27)
O V= 4/3 (27ń)

Which equation gives the volume of the sphere O V2327ń O V4327 O V 23 27 O V 43 27ń class=

Respuesta :

Muscardinus Muscardinus
  • 28-06-2021

Answer:

The correct option is (b).

Step-by-step explanation:

A sphere and a cylinder have the same radius and height,

The volume of cylinder is,

[tex]V=\pi r^2 h\\\\V=\pi r^3[/tex]

ATQ,

The volume of cylinder is 27 cubic units.

[tex]\pi r^3 = 27[/tex]

The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times 27[/tex]

So, the correct option is (b).

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