Question

the diameter, d, of a sphere is 10.4 mm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermed

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter. Given $D = 10.4$ mm, so $r=\frac{D}{2}=\frac{10.4}{2}=5.2$ mm.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 5.2$ mm and $\pi=3.14$ into the formula:
$V=\frac{4}{3}\times3.14\times(5.2)^{3}$
$V=\frac{4}{3}\times3.14\times140.608$
$V=\frac{4\times3.14\times140.608}{3}$
$V=\frac{1761.69472}{3}\approx587.2$ mm³

Answer:

$587.2$ mm³