the radius of a sphere is 3 inches. which represents the volume of the sphere? 12π cubic inches 36π cubic…
the radius of a sphere is 3 inches. which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches
Answer
Explanation:
Step1: Recall volume formula
The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.
Step2: Substitute radius value
Given $r = 3$ inches, substitute into the formula: $V=\frac{4}{3}\pi\times(3)^{3}$.
Step3: Calculate the value
First, $(3)^{3}=3\times3\times3 = 27$. Then $\frac{4}{3}\times27 = 36$. So $V = 36\pi$ cubic - inches.
Answer:
36π cubic inches