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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 > Surface Area - Painting a Spherical Tank

Geometry - Surface Area - Painting a Spherical Tank


Expert: Azeem Hussain - 6/7/2009

Question
Hi! I'm having a very hard time finding out how much paint I need to cover a spherical tank with a diameter of 10 feet. The paint I'm using-each gallon covers 100 square feet. How do I figure out how many gallons I need? If you could help me with this problem, I would very much appreciate it. Thanks a ton.

Answer
Hi Deonna,

Begin by finding the surface area of the sphere.  To do this, you need the radius which is half the diameter, so 5 feet in this case.  The surface area of the sphere may be calculated as follows:
A=(4πr^3)/3
A=(4π(5)^3)/3
A=4π125/3
A=500π/3

The sphere's surface area is (500π/3) square feet.  Divide this by how much each gallon of paint covers to find the number of gallons required.

V=(500π/3)/100
V=5π/3
V=5.236

ANSWER: (5π/3) or 5.236 gallons of paint are required.

Thanks for asking,
Azeem

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