A community for students.
Here's the question you clicked on:
 0 viewing
viniterranova
 3 years ago
A astronaut has 100 kg of mass. Unfortunately the mass of his body was spread out in a sphere. After that, the density inside the sphere is 2x10^28 kg/m^3. What is the radius of the sphere where the mass of the astronaut was spread out?
viniterranova
 3 years ago
A astronaut has 100 kg of mass. Unfortunately the mass of his body was spread out in a sphere. After that, the density inside the sphere is 2x10^28 kg/m^3. What is the radius of the sphere where the mass of the astronaut was spread out?

This Question is Closed

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2Density = MASS/VOLUME

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2use it to find the volume of the sphere

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0I just set up the following relation 6x10^28=100kg/V

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2Yes u r correct. PLZ CONTINUE

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0So, with some algebric manipulation i found this relation V=1x10^2/6x10^28 and i got V=1/6x10^30.

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0I think this is the volume of the sphere.

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2Now, Volume of a sphere=4/3 pi r^3

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0I just plug it in the formual, right?

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2YEp, 1/6x10^30 = 4/3 pi r^3

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2But I got different

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0i write the equation in this order. cubic root of 1/6x10^30=4/3phi*r

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0Now i got 4,12740906x10^9 m

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2Density= MASS/ VOLUME 2x10^28=100/VOLUME VOLUME=50 * 10 ^28 4/3 pi r^3 = 50 * 10^28 r^3=4923725109

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0How do u calculate the 2x10^28=100/VOLUME. Plz do it step by step.

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2DEnsity =MASS/ VOLUME

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.2Now, substitute the given values

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0But sorry i can´t understant how do you calculate 2x10^28=100/VOLUME. May you do it plz?

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0When i calculate V i have found 50/3x10^28. How did you got 50 * 10 ^28. PLz.

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, but where did you find the number two? If we have the division 100/6?

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.0Did you divide 6/3. I got it. now.
Ask your own question
Sign UpFind 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.