Question

Find the volume of the sphere in terms of π.

Answer 1

Answer

a

Step-by-step explanation:

4/3*π*9³

=972π

Answer 2

Answer: 972π cm³

Explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

$V = \frac{4}{3} \pi r^{3}$

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 $(\frac{4}{3})(\pi)(9 cm)^{3}$.

Start by simplifying the exponent.

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

· 9 centimeters or 729 cm³.

So we have $(\frac{4}{3})(729 cm^{3})(\pi)$.

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.