SOLUTION: A block of ice is in the shape of a square prism. You want to put the block of ice in a cylindrical cooler. The equation s^2=2r^2 represent the minimum radius r needed for a block

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Question 1033064: A block of ice is in the shape of a square prism. You want to put the block of ice in a cylindrical cooler. The equation s^2=2r^2 represent the minimum radius r needed for a block of ice with side length s to fit in the cooler 1) solve the equation for r. 2) use the equation in part a to find the minimum radius needed when the side length of the block of ice is 98^2
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the formula for the square prism block of ice to fit into the cylindrical container is s^2 = 2r^2.

s is the length of a side of the base of the square prism.
r is the radius of the base of the cylinder.

you are given that s = 98^2.

this means that s^2 = (98^2)^2 = 98^4.

this means that 2r^2 = 98^4.

divide both sides of this equation by 2 to get r^2 = 98^4/2.

take the square root of both sides of this equation to get r = plus or minus sqrt(98^4/2) = plus or minus 6791.053527.

since r has to be positive, you get r = 6791.053527.

that's the minimum radius needed when the side length of the block of ice is equal to 98^2.