April 18 ,2012 Aim: How do we find the Surface Area and Volume of a Sphere?
Formulas:
Examples:
Example #1:
Find the surface area of a sphere with a radius of 6 cm
SA = 4 × pi × r2
SA = 4 × 3.14 × 62
SA = 12.56 × 36
SA = 452.16
Surface area = 452.16 cm2
http://www.basic-mathematics.com/surface-area-of-a-sphere.html
Example #1
Find Vsphere if r = 2 inches
Vsphere = 4/3 × pi × r3
Vsphere = 4/3 × 3.14 × 23
Vsphere = 4/3 × 3.14 × 8
Vsphere = 4/3 × 25.12
Vsphere = 4/3 × 25.12/1
Vsphere = (4 × 25.12)/(3 × 1)
Vsphere = (100.48)/3
Vsphere = 33.49 inches3
http://www.basic-mathematics.com/volume-of-a-sphere.html
Now you try it:
1) A sphere has a radius of 6in. What is the volume of the figure?
2) A sphere has a diameter of 20ft. What is the surface area of the figure and the radius?
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