Question

a sphere has a radius of 6 units. what is its volume?
a. 1,436.0 cubic units
b. 904.3 cubic units
c. 392.5 cubic units
d. 1047.2 cubic units

Explanation:

Step1: Recall the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 6\) units. Substitute \(r=6\) into \(V=\frac{4}{3}\pi r^{3}\):

$$
LATEXBLOCK0
$$

Step3: Calculate the numerical value

Take \(\pi\approx3.14\). Then \(V=288\times3.14 = 904.32\approx904.3\) (rounded to one - decimal place)

Answer:

B. 904.3 cubic units