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svet-max [94.6K]
3 years ago
12

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

V = 33.5 cm^3

Step-by-step explanation:

The volume of a sphere is given by

V=4/3 pi r^3

The diameter is 4

r= d/2

r =4/2 =2

V = 4/3 pi (2)^3

V = 4/3 pi 8

V = 32/3 pi

Assuming pi is approximated by 3.14

V = 32/3 (3.14)

   = 33.493333333 cm^3

To the nearest tenth

V = 33.5 cm^3

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Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10

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