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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Similarity with Volumes

Geometry - Similarity with Volumes


Expert: Azeem Hussain - 4/13/2009

Question
Hi again...STILL trying to help my daughter out but I can`t remember radius etc..... ( x 3.14, etc) I really appreciate your help.  Here are 2 more that I am trying to figure out.

a) A cylinder and a cone have identical radii and heights. How many times larger is the volume of the cylinder than the cone

b) Two prisms have the same height. The base area of one is twice that of the other. Compare the volume of the prisms.

Again I really appreciate any help you can offer.
Thanks so much
Sharon


Answer
Hi Sharon,

a)  Cylinders and cones work the same ways as pyramids and prisms.  The volume of a cylinder is the base area times the height, whereas that of a cone is one-third the base area times the height.  The cylinder will have 3 times the volume of the cone.

b)  The volume of a prism is found by V=Ah.  The volume of the larger prism is found by V=(2A)h.  The one with the larger base area has twice the volume of the other.

Glad to help,
Azeem

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