Month: March 2017

During the 6th week of Foundations of Mathematics and Pre-Calculus 10, I learned how to find the surface area and volume of spheres. To begin you must know the formula of both the surface area and volume of the sphere. If the radius or diameter is missing, substitutions with the formula must be done. When using the formula for surface area or volume, you must use the full pi number, rather than rounding because it can change the answer. A sphere is basically a three dimensional circle (ball). Also, spheres can be placed into other objects such as squares, which can help find the volume of square, if you know the radius.

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This is our 3D Pyramid we created in class. The height is four centimetres, the base length and width is eight centimetres, and the slant height is approximately 5.7 centimetres.

During the fifth week of Foundations of Mathematics and Pre-Calculus 10, I learned to find the surface area and volume of a cone. To determine the surface there is a formula which must be used to calculate the answer (formula in image). When finding the surface area of cones, you must make sure you have all the measurements given. If not, pythagorean theorem must be used to determine the side you are missing. Also, if the diameter is given, find the radius. Next, to determine the volume, you must use a formula (formula in image). Note: volume is the amount of space the object takes up. Pythagorean theorem is not required for this formula. Although, sometimes you must convert your answer to a different unit. When dealing with formulas, on some cases, the volume or surface is given, and you must substitute the formula to find the missing side/length. Remember to always use the full “pi” number, do not round off to the nearest decimal. Apply the formulas below, and you get your approximate or full answer.

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