Respuesta :

Answer:

4ft^3

Step-by-step explanation:

1.333333*3*1^3=4

Calculate the volume of the sphere

To start finding the volume of this sphere, we get the following data:

  • π = 3
  • r = 2 ft²

To find the volume we apply the following formula:

  • [tex]\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}[/tex], where
  • v = volume
  • π  = pi
  • r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

  • [tex]\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}[/tex]

Calculate exponent cubed

  • [tex]\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}[/tex]

Multiplying

  • [tex]\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}[/tex]

Therefore, the volume of the sphere is 32 ft³.