Question

the volume of a sphere, v, with radius r can be determined using the formula v = \frac{4}{3}\pi r^{3}, where \pi is approximately 3.14. what is the approximate volume of a sphere with a diameter of 12 m? a. 100.5 m³ b. 150.7 m³ c. 904.3 m³ d. 7234.6 m³

Explanation:

Step1: Find the radius

Given diameter $d = 12$ m, radius $r=\frac{d}{2}=\frac{12}{2}=6$ m.

Step2: Calculate the volume

Use the formula $V = \frac{4}{3}\pi r^{3}$, substitute $r = 6$ m and $\pi\approx3.14$.
$V=\frac{4}{3}\times3.14\times6^{3}=\frac{4}{3}\times3.14\times216 = 4\times3.14\times72=904.32\approx904.3$ $m^{3}$

Answer:

C. $904.3$ $m^{3}$