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 2 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?
 2 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?

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

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

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

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

viniterranova
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0I think this is the volume of the sphere.

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

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

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

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

viniterranova
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0Now i got 4,12740906x10^9 m

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

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

viniterranova
 2 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
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0Did you divide 6/3. I got it. now.
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