The large sphere has a diameter of 20 feet.
Which expression represents the volume, in cubic units, of
the shaded part of the sphere?
-4ft
37(109) + 37(4)
7(109) – 2014)
1(209) + (4)
7(209) – 17(43)

Respuesta :

Answer:

The volume of the sphere is 4187 cubic feet, approximately.

Step-by-step explanation:

The volume of a spherer is defined as

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Where [tex]r[/tex] is the radius and [tex]\pi \approx 3.14[/tex]

According to the proble, the diameter is 20 feet. By definition of radius,

[tex]r=\frac{d}{2}=\frac{20ft}{2} =10ft[/tex]

Replacing the radius in the volume formula

[tex]V=\frac{4}{3} \pi (10)^{3}[/tex]

[tex]V=4,187 \ ft^{3}[/tex]

Therefore, the volume of the sphere is 4187 cubic feet, approximately.

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