137k views
0 votes
Find the surface area of a sphere with the circumference of 13mm

User Brejuro
by
7.9k points

2 Answers

5 votes
the answer is 530.93 you got this
User Widor
by
8.4k points
4 votes

well, we know the sphere's "great circle" has a circumference of 13mm, so


\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=13 \end{cases}\implies 13=2\pi r\implies \cfrac{13}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=(13)/(2\pi ) \end{cases}\implies SA=4\pi \left( \cfrac{13}{2\pi } \right)^2 \\\\\\ SA=\cfrac{169}{\pi } \implies SA\approx 53.79~mm^2

User Wheeliez
by
7.9k points

Related questions