Question

Find the volume of the sphere shown to the right. Give an answer in terms of pi and rounded to the nearest cubic unit.

The diameter of the sphere is 2 in.
The exact volume is ___________ in^3.
(Type an exact answer in terms of pi)
The approximate volume is _________ in^3
Need asap!

Answer 1

The calculated volume of the sphere is 4/3π cubic inches

How to determine the volume of the sphere

From the question, we have the following parameters that can be used in our computation:

The sphere

Where, we have

Diameter = 2 in

This means that

Radius, r = 1 in

The volume of a sphere is

V = 4/3πr³

Substitute the known values into the equation

V = 4/3π * 1³

Evaluate

V = 4/3π

Hence, the volume of the sphere is 4/3π cubic inches

Answer 2

The correct answers are:
Exact volume =
`V = (32)/(3) \pi` in^3
Approximate volume = V = 33.51 in^3

Step-by-step explanation:

The volume of the sphere is:
`V = (4)/(3) \pi r^3`

Since r = 2 in

Hence

`V = (4)/(3) \pi (2)^3 \\ V = (32)/(3) \pi` in^3 (exact)
V = 33.51 in^3 (approximate)