Question

Find the volume of a sphere with a diameter of 3 cm.

Answer 1

• Answer:

`14,14~cm^(3)`

• Explanation:

d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm

`V=(4)/(3)\pi*r^(3)\\\\=(4)/(3)*(22)/(7)*3.375cm^(3)\\ \\=(4*22*3.375)/(21)cm^(3)\\ \\=(297)/(21)cm^(3)\\ \\`

≈
`14,14~cm^(3)`

Answer 2

9/2π

=14.13716694

Explanation:

The equation of the volume of the sphere:

V=4/3πr^3

If the diameter is 3cm, the radius is divided by 2, so 1.5cm.

Plug that in, 4/3π1.5^3

Use a calculator:

9/2π

=14.13716694