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:
- The formula for the surface area of a sphere is 4
- 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}
- You then square the radius ie. 4(132.25) and multiply across to get your answer
- Round to the nearest 1oth of a cm
volume:
- The formula for the volume of a sphere is
- Since we know the radius, again, we just input it into the equation ie.
- To help you may want to rewrite the equation so 3 is the denominator and is the numerator, it means the same thing as
- 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
- Round answer to nearest 10th of a cm