Question

Find the volume of the sphere in terms of π.

a. 972 π cm³
b. 7776 π cm³
c. 36 π cm³
d. 24 π cm³

Answer 1

a

Step-by-step explanation:

4/3*π*9³

=972π

Answer 2

Answer: 972π cm³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

`V = (4)/(3) \pi r^(3)`

Here, notice that our sphere has a diameter of 18 centimeters.

However, we need to find the radius and to do that, we multiply our diameter by 1/2 and we will get the radius of our sphere.

18 · 1/2 is equal to 9.

So the radius is 9 centimeters.

So plugging into the formula, we have
`((4)/(3))(\pi)(9 cm)^(3)`.

Start by simplifying the exponent.

(9 cm)³ is equal to 9 centimeters · 9 centimeters

· 9 centimeters or 729 cm³.

So we have
`((4)/(3))(729 cm^(3))(\pi)`.

Notice that we can cross cancel 3 and 729 to 1 and 243.

So we have (4)(243 cm³) which is equal to 972 cm³.

So we have 972π cm³.

So the volume of the sphere shown here is 972π cm³.