Question

unit 1 online homework score: 59/100 answered: 18/29 question 22 volume of a sphere the volume of a sphere with radius r is given by the formula v = \\(\frac{4}{3}\pi r^{3}\\). find the volume of a sports ball with radius 10 cm is cm.³ use 3.14 or the π key on your calculator. round your answer to the nearest tenth if necessary. question help: video

Explanation:

Step1: Substitute radius value

Given $r = 10$ cm and $V=\frac{4}{3}\pi r^{3}$, substitute $r$ into the formula: $V=\frac{4}{3}\pi(10)^{3}$.

Step2: Calculate $(10)^{3}$

$(10)^{3}=10\times10\times10 = 1000$, so $V=\frac{4}{3}\pi\times1000$.

Step3: Multiply by $\frac{4}{3}$

$\frac{4}{3}\times1000=\frac{4000}{3}$, so $V=\frac{4000}{3}\pi$.

Step4: Use $\pi = 3.14$

$V=\frac{4000}{3}\times3.14$.
$\frac{4000\times3.14}{3}=\frac{12560}{3}\approx4186.7$ $cm^{3}$.

Answer:

$4186.7$