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Geometry/Similarity with Volumes
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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
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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Azeem Hussain
Expertise
I can answer mostly any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.
Experience
Drop-in tutor at Champlain College since 2010.
I am neither a professor nor a teacher of this subject. I am merely a student who is good at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.
Education/Credentials
Presently enrolled in Materials Engineering at McGill University.
Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert.
Diploma of Secondary Studies from Chambly Academy High School.
Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.
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