A community for students. Sign up today!
Here's the question you clicked on:
← 55 members online
 0 viewing
 2 years ago
Is it possible for a sphere to have the same numerical value for the surface area and volume? Find the radius of a sphere.
 2 years ago
Is it possible for a sphere to have the same numerical value for the surface area and volume? Find the radius of a sphere.

This Question is Closed

dape
 2 years ago
Best ResponseYou've already chosen the best response.1Since the surface area is \[ A = 4\pi*r^2 \] and the volume is \[ V = \frac{4}{3}\pi*r^3, \] and want these quantities to be equal we get \[ 4\pi*r^2 = \frac{4}{3}\pi*r^3. \] We cancel 4πr^2 from both sides and get \[ 1 = \frac{1}{3}*r \] which means that r=3.

dape
 2 years ago
Best ResponseYou've already chosen the best response.1We also have the degenerate case of r=0, but that's pretty uninteresting.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.