Question

27 formula 4 points what is the density of a sphere if its mass is 307.0 g and a radius of 3.59 cm? solve to 3 significant figures. the volume of a sphere is: $v = \frac{4}{3}pi r^{3}$ answer

Explanation:

Step1: Calculate sphere volume

Use the formula $V=\frac{4}{3}\pi r^{3}$. Given $r = 3.59$ cm.
$V=\frac{4}{3}\pi(3.59)^{3}$
$V=\frac{4}{3}\pi\times46.37$
$V\approx194.8$ $cm^{3}$

Step2: Calculate density

Density formula is $
ho=\frac{m}{V}$. Given $m = 307.0$ g and $V\approx194.8$ $cm^{3}$.
$
ho=\frac{307.0}{194.8}\approx1.58$ $g/cm^{3}$

Answer:

$1.58$ $g/cm^{3}$