Consider a sphere of radius R, surface area A and volume V. Suppose the radius is doubled to 2R. How does the new surface area Anew and the new volume Vnew compare to the old values? Anew = 4A, Vnew 8V Anew = 4A, Vnew = 2V Anew 8A, Vnew = 4V Anew 2A, Vnew 4V Anew = 2A, Vnew 8V

Consider a sphere of radius R, surface area A and volume V. Suppose the radius is doubled to 2R. How does the new surface area Anew and the new volume Vnew compare to the old values? Anew = 4A, Vnew 8V Anew = 4A, Vnew = 2V Anew 8A, Vnew = 4V Anew 2A, Vnew 4V Anew = 2A, Vnew 8V

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.10P

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Consider a sphere of radius R, surface area A and volume V.
Suppose the radius is doubled to 2R.
How does the new surface area Anew and the new volume
Vnew compare to the old values?
Anew
4А, Vnew
8V
Anew = 4A, Vnew
= 2V
Anew
8А, Vлеw
4V
new
Anew = 2A, Vnew
= 4V
O Anew = 2A, Vnew
8V

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