Posted by **Patrice** on Wednesday, March 2, 2011 at 10:24pm.

??Jack has two spheres one has radius of 12 and the other has a diameter of 12. What is the difference between two spheres?

- Math -
**Bosnian**, Thursday, March 3, 2011 at 12:13am
Diameter=2*Radius

Radius=Diameter/2

Radius of first sphere R1=12

Radius of second sphere R2=D2/2=12/2=6

R1/R2=12/6=2

R1/R2=2

Area of sphere=4*pi*R^2

Area of first sphere A1=4*pi*12^2=

4*pi*(2*6)^2=4*pi*4*6^2

Area of second sphere A2=4*pi*6^2

A1/A2=(4*pi*4*6^2)/(4*pi*6^2)=4

A1/A2=4

Volume of a sphere:

V=(4/3)*pi*R^3

Volume of first sphere:

(4/3)*pi*12^3=

(4/3)*pi*(2*6)^3=(4/3)*pi*8*6^3

Volume of second sphere:

(4/3)*pi*6^3

V1/V2=[(4/3)*pi*8*6^3]/[(4/3)*pi*6^3]=8

V1/V2=8

V2/V1=8

First sphere have 2x larger Radius, 4x larger Area and 8x larger Volume

- Math -
**Bosnian**, Thursday, March 3, 2011 at 12:15am
V1/V2=8

- Math -
**Bosnian**, Thursday, March 3, 2011 at 12:17am
Delete: V2/V1=8

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