Question

The diameter of a sphere is 4 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth.

Answer 1

Using the formula for the Volume of the Sphere, we get
`(4)/(3) \pi 2^3`, we get approximately 33.5
`cm^(2)`

Answer 2

Volume of the sphere(V) is given by:

`V = (4)/(3) \pi r^3` ....[1]

where,

r is the radius of the sphere.

As per the statement:

The diameter of a sphere is 4 centimeters.

Formula for the diameter(d) is given by:

`d = 2r`

⇒
`4 = 2r`

Divide both sides by 2 we have;

2 = r

or

r = 2 cm

Substitute in [1] and use 3.14 for pi. we have;

`V = (4)/(3) \cdot 3.14 \cdot 2^3 = (4)/(3) \cdot 3.14 \cdot 8`

Simplify:

V = 33.4933333 cubic cm

therefore, the volume of the sphere to the nearest tenths is,
`33.5 cm^3`