Month: March 2017

Math 10 Week 6

keishan2015

This week in math one thing that I learned how to do was how to calculate the surface area and the volume of a sphere. I also learned that two cones can fit inside a sphere, and one cone can fit inside a hemisphere, only if they have the same radius.

 

Surface area:

  1. The formula for the surface area of a sphere is 4
  2. If we know that the radius of the sphere is 11.5cm then we just input it into the  formula ie. 4(11.5)^{2}
  3. You then square the radius ie. 4(132.25) and multiply across to get your answer
  4. Round to the nearest 1oth of a cm

volume:

  1. The formula for the volume of a sphere is
  2. Since we know the radius, again, we just input it into the equation ie.
  3.  To help you may want to rewrite the equation so 3 is the denominator and  is the numerator, it means the same thing as  
  4. You then cube the radius ie.   and multiply across to get your answer, if you rewrote the equation as one fraction the you multiply across the top and divide by 3 to get your answer
  5. Round answer to nearest 10th of a cm

 

Math 10 Week 5

keishan2015

This week in math we learned about measurement. Although I’ve never loved the measurement unit I learned some tricks when converting which helped me learn to enjoy the unit more.  One thing that I learned this week was how to convert measurement from imperial to metric and vise versa using unit analysis. Being able to convert from metric to imperial and imperial to metric is an important skill to have since we live so close to the United States and still measure some things using the imperial system ex. height.

Example: 

How To Solve The Problem:

  1. You write down the number you are converting, which in this case would be 12ft.
  2. You then analyze and see if there are any known conversions. If we know that we are trying to convert from imperial to metric, and we know that 1in = 2.54cm, then it would be best to convert the 12ft to inches and then convert that to centimeters and so on.
  3. You write the know conversion as a fraction. We know that 1ft is equal to 12in so we write that as a fraction with 12in as the numerator and 1ft as the denominator. we write it like this because we are trying to cancel out the feet so that we are left with only inches. note: the unit you are trying to cancel out should always be written opposite to that of the fraction in front of it.
  4. You continue with the previous step until you are left with the unit of measurement you are trying to convert to.
  5. then you multiply across and divide and you should be left with your answer.