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Geometry/Sphere - Surface Area
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Question
i have a globe that has a volume of 33.5103 inches cubed
i need to find the surface area of the globe.
i keep on getting 150
Hi George!
The volume of a sphere (a globe is a sphere) can be found by the equation V=(4(pi)r^3)/3. Plug in V and solve for r.
V=(4(pi)r^3)/3
33.5103=(4(pi)r^3)/3
25.1327=(pi)r^3
r^3=8
r=2
At this point, you'll need to plug this radius into the equation for solving the surface area of a sphere is A=4(pi)r^2.
A=4(pi)r^2
A=4(pi)(2)^2
A=16(pi)
A=50.2655
ANSWER: The surface area is 50.2655 inches squared.
Thanks for asking,
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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