oarnold30407 oarnold30407
  • 20-03-2018
  • Mathematics
contestada

What is the exact volume of the sphere with a diameter of 12.3cm?

Respuesta :

OrethaWilkison OrethaWilkison
  • 08-01-2019

Answer:

Volume of sphere is given by:

[tex]V = \frac{4}{3}\pi r^3[/tex]             ......[1]

where

V represents the volume of sphere

r represents the radius of the sphere.

Value of [tex]\pi = 3.14[/tex]

Since, it is given that: Diameter(D) = 12.3 cm

Diameter(D) = 2r

[tex]12.3 = 2r[/tex]

Divide both side by 2 we get;

r = 6.15 cm

Now, substitute the value of r in [1] we get;

[tex]V = \frac{4}{3}(3.14)(6.15)^3[/tex]

Simplify:

V = 973.853732 cubic cm

Therefore, the exact volume of sphere is, 974 cubic cm


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