Prism vs. Pyramid & Cylinder vs. Cone

Believe it or not, the surface area and volume of prisms and pyramids, and cylinders and cones are similar and different. The surface area of prisms and pyramids both can be found by finding the area of each individual lateral face and adding it up. They are also different because for regular pyramid, you can simply multiply one-half times the perimeter of the base times the slant height added to the area of the base for the surface area. Cylinders and cones have ways to find surface area by finding the area of each shape forming the figure and adding them together. They area also different because you can find a cylinder's surface area by multiplying 2 times pie times the radius squared added to 2 times pie times the radius times the height. You could find the surface area of a cone by adding the lateral area with its base area. On the other hand, volume in prisms and pyramids both involve multiplying the area of the base times the height. However, the volume of a pyramid is one-third of the volume of a prism. Likewise, cylinders and cones both involve multiplying pie times the radius squared times the height, but the volume of a cone is one-third the volume of a cylinder.

Annabella Milbanke

She was born on May 17, 1792 as Anne Isabella Byron. She went to Cambridge University. She was proposed to by Lord Byron in September of 1814. He was the one who nicknamed her "Princess of Parallelograms" mainly because of how intelligent she was. That is how Annabella Milbanke got the nickname of "Princess of Parallelograms."

(Make-Up Post for Wednesday, April 18, 2012)

Homework for 4/11/12

I commented on Joe Chesnut's question. 

Q: How can circles be so important.

A: Circles are so important because they are used in many careers and can be applied to life problems.One career circles can be used in is construction, and if construction workers build a cylinder support column, it is imperative to have correct measurements so that the structure being built won't collapse on itself.

Homework for 4/9/12

In chapter 10, I have learned many things about circles so far. I have learned many terms describing circles such as chord, radius, and diameter, and how to find the area and circumference, or perimeter, of a circle. I found that there are different angles in circles as well including central angles and inscribed angles along with the methods to find them even by using arc measures which I have learned to find. Also, I learned how inscribed polygons can lie in a circle and rules for finding different inscribed angles and quadrilaterals. Futhermore, I have learned what a tangent is and how I can find the measurements of tangent lines. Some careers that involve circles include architects when building structures and ground maintenance workers such as when developing a putting green on a golf course. Another question I still have is that if you extend chords in a circle, wouldn't everything be a secant line or angle then? I also didn't understand our book work for #30.