A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
for a spherical object what is its mass in terms of the density of the material, its diameter and any necessary constants?
anonymous
 4 years ago
for a spherical object what is its mass in terms of the density of the material, its diameter and any necessary constants?

This Question is Closed

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2well volume of a sphere is \[\frac 43 \pi r^3\]

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2and then density = mass/volume

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2\[\rho=\frac mV\] \[m=V\rho\]

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2so you have \[m = \frac 43\rho \pi r^3\]

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2where \(\rho\) = density

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what about its diameter

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2and \(r\) is the radius (half the diameter) \(r=\frac d2\)

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2radius = diameter/2 so just change r to d/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so thats the final solution?

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2replace r with d/2....

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok cool and can i give you guys both metals or does just one of you get it?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hey so its (4/3)p(pi)(d/2)^3

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2you can simplify the numbers a bit

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0unkle...it won't let me give you a metal now

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why cant i give it to both of you

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2i dont mind about that

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2\[m=\frac43\rho\pi\left(\frac d2\right)^3\] use \[\left(\frac{a}{b}\right)^n=\frac {a^n} {b^n}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so it simplifies to 4p(pi)(d/2)?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i crossed out the 3's

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2what he meant was distribute the exponent

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2you can not cancel an index with denominator like that

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh so whats it turn to?

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2\[\left(\frac{a}{b}\right)^n=\frac {a^n} {b^n}\] \[\left(\frac{d}{2}\right)^3=\frac {d^3} {2^3}\]

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2can you simplify the numbers in the equation now?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes (4/3)p(pi)(d^3/8) ?

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2you can simplify it further

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2you can multiply the denominators

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2you canceled the denominaotr and teh exponent???

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it can't be simplified?

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2it can...you just simplified it wrong....multiply the denominators

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2don't touch anything else

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so it (4/24)p(pi)(d^3) ?

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2yes. now express 4/24 in lowest terms

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so 1/6 p(pi)(d^3) ? thats final!!!!

lgbasallote
 4 years ago
Best ResponseYou've already chosen the best response.2your turn @UnkleRhaukus

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2\[\color{red}\checkmark\]

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.2so the constants necessary to express the volume in terms of diameter are ; the natural number; 6 the density of the material rho; \(\rho\) the geometrical constant pi; \(\pi\) the diameter of the sphere \(d\) and the dimensional constant \(3\)
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.