Question

marks A Student Portal-Lo. W Workday=O GEOMETRYVolume of a sphereThe diameter, D, of a sphere is 7 mm. Calculate the sphere's volume, V.Use the value 3.14 for T, and round your answer to the nearest tenth. (Do not round any Intermediate computations.)

Answer 1

Given:

Diameter = 7 mm

π=3.14

To determine the sphere's volume, we use the formula:

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

where:

V=Volume

r=radius

(Note: radius = diameter/2)

Since the diameter is 7mm, the radius is:

radius = diameter/2 = 7/2 = 3.5mm

We plug in r=3.5 mm and π=3.14 into the sphere's volume formula.

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ =\frac{4}{3}(3.14)(3.5)^3 \\ \text{Calculate} \\ V=179.5\text{ mm\textasciicircum{}3} \end{gathered}$

Therefore, the answer is 179.5 mm^3.