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 V_sphere   if r = 2 inches

V_sphere = 4/3 × pi × r³

V_sphere = 4/3 × 3.14 × 2³

V_sphere = 4/3 × 3.14 × 8

V_sphere = 4/3 × 25.12

V_sphere = 4/3 × 25.12/1

V_sphere = (4 × 25.12)/(3 × 1)

V_sphere = (100.48)/3

V_sphere = 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?

April 17,2012 Aim: How do we find the volume of pyramids and cones?

Formulas:

-Cone:




-Pyramids:





 Examples:



http://01.edu-cdn.com/files/static/learningexpressllc/9781576857458/VOLUME_OF_PRISMS_AND_PYRAMIDS_24.GIF





http://media.mahalo.com/upload/7/7f/ea8fc8cb88fdc5169c3adc98c46dded6_20110603.JPEG


Now you try it:

 1.Radius = 4 inches
Height = 6 inches
Find the exact volume of a right circular
cone.
Volume = _____________

2.Diameter = 7 feet
Height = 9 feet
Find the exact volume of a right circular
cone.
Volume = _____________

3.Length=8 cm; width= 6.2 cm; height= 4.5cm
Volume: ___________________          

 4. Length=2.2 ft; width= 3.3 ft; height= 6 ft
Volume: ___________________          

http://www.mathworksheets4kids.com/volume.html