Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

A spherical metalic shell with 10 cm diameter external diameter, weighs 1789* 1/3 g. find the thickness of the shell if the density is 7 g/cm3




This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
So, external r= d/2= 5 cm (Let external radius= ro)
Let internal radius= ri
Weight= 1789 \frac{1}{3} g= 5368g
Density (D)= 7g/cm³
Volume of the sphere= Outer vol- Inner vol 
( \frac{4}{3}  \pi r_o^3) - ( \frac{4}{3} \pi r_i^3 )
 \frac{4}{3}  \pi  (r_o^3 - r_i^3)
 \frac{4}{3} *  \frac{22}{7}(5^3-r_i^3)
 \frac{88}{21} (125-r_i^3) Let this be V
Therefore, for 1cm³ of Vol., weight= 7g
So for V cm³, wt =7*V g
=7* \frac{88}{21} (125-r_i^3)
\frac{88}{3} (125-r_i^3) g
But, given wt = 5368 g
So, 5368=\frac{88}{3} (125-r_i^3)
or,  \frac{5368*3}{88} =125-r_i^3
r_i= \sqrt[3]{58} = 3.87 cm
Now, thickness= r_o-r_i= 5-3.87= 1.13cm

6 3 6
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts