SOLUTION: The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the la

Algebra ->  Volume -> SOLUTION: The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the la      Log On


   

Question 1073824: The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can. Write your answer as a decimal or mixed number.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
small
pi%284r%29%5E2%2Bpi%284r%29%5E2%2B4h%2A2pi%284r%29=220

large
2%2Api%287r%29%5E2%2B7h%2A2pi%287r%29


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small
32%28pi%2Ar%5E2%2Bpi%2Ah%2Ar%29=220

large
98%28pi%2Ar%5E2%2Bpi%2Ahr%29=canBeFound

The factor to go from the small to the large, for surface area, is %287%5E2%29%2F%284%5E2%29