Question

A sphere has radius of 3 cm. What is the volume of the sphere?

Answer 1

Answer: 113.04 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.

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

Here, we are given that our sphere has a radius of 3 centimeters.

So plugging into the formula, we have $(\frac{4}{3})(\pi)(3 cm)^{3}$.

Start by simplifying the exponent.

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

3 centimeters or 27 cm³.

So we have $(\frac{4}{3})(27 cm^{3})(\pi)$.

Notice that we can cross-cancel 3 and 27 to 1 and 9.

So we have (4)(9 cm³) which is equal to 36 cm³.

So we have 36π cm³.

So the volume of the sphere is 36π cm³.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (36)(3.14) which is equal to 113.04 which means

that the volume of approximately equal to 113.04 cm³.