Real Life application[[radius,diameter,circumference]]

[Muhh-Ken-Zee]

This is a task that my teacher assigned me. It's worth 35% of my grade and I don't understand it. Please help.

The Peachoid-Off Interstate 85 in Gaffney, South Carolina, there is a large spherical water tank shaped and painted to look like a peach. It was built in 1980-81. Although peaches are often associated with Georgia, South Carolina produces more peaches, and Gaffney is home of the South Carolina Peach Festival. The peach-shaped water tank called the "Peachoid" holds one million gallons of water.

Use the information above to solve:

1. Find the radius,diameter, and circumference or the Peachoid in feet. One gallon is equal to 0.1337 cubic feet. Round your results two decimal places.
(I thought I knew how to solve for this but when I did it was all wrong. What formula do I use and what exactly do I do to figure out my answers.I have to show my work and I want to know how i got that and not just get the answer to it)

2. Find the surface area.
(What's the formula?)

3. The company that made the steel framework for the Peachoid had an agreement with the city of Gaffney that they would not build another Peachoid for fifteen years. Now, there is a Peachoid tank off interstate 65 in Clanton, Alabama. It only holds a half-million gallon. How does the radius of the Clanton tank compare to the radius of the tank in Gaffney?

If you could help me on any of this please do. I just got the assignment today and it is due Friday (10/24/08) :shock: , and it is worth 35% of my grade so your help would really be appreciated. An answer and explanation would especially be appreciated. Thanks.

 

[arthur ohlsten]

volume of a sphere = 4/3 pi r^3
surface area of a sphere = 4 pi r^2

1,000,000 million gals = 133700 cu ft
you should be able to work out r, the radius of the sphere, and then the circumference and diameter.

I get 31.72 ft radius but I could have made a error
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with the radius you can determine the surface area 4 pi r^2 in sq ft.
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ler r be radius of tank in peachfroid
let x be the radius of the tank in clanton

V [peachfroid]=4/3 pi r^3
v[clanton]=4/3 pi x^3
but v [clanton]=1/2 V peachfroid]
4/3 pi x^3=1/2 { 4/3 pi R^3}
cancel 4/3 pi from each side
x^3=1/2 R^3
x= cube root [.5R^3] answer

Arthur
please check for errors

 

[Denis]

Boy oh boy oh boy...WHY do math teachers INSIST on making up "stories" :shock:

A sphere holds one million gallons of water.
Find its radius, diameter, circumference and surface area.
One gallon is equal to 0.1337 cubic feet. Round your results two decimal places.

Compare its radius to the radius of a sphere that holds half a million gallons of water.

Ain't that enough :idea: