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Mathematics - Algebra

Problem 1: Find the radius of a spherical tank that has a volume of 32pie /3 cubic meters.

Problem 2: An investment of $10k is worth $24,780 in 2006. Find the 5 year average annual return.

Problem 3: The width of a rectangular gate is 2 meters larger than it's height. The diagonal brace measures Sqrt of 6m... find the width & height.

Problem 4: Charlie hits the baseball straight up at 150ft/sec from a height of 5 ft. (a) use the formula to determine how long it takes the ball to return to earth (b) estimate the max height reached by the ball.

Solution Preview

(1) V = (4/3) pi r^3

32 pi/3 = (4/3) pi r^3

(32 pi/3)/(4 pi/3) = r^3

8 = r^3

r = 2 m

(2) The 5- year average annual return = (24780 - 10000)/5 = $2956.

(3) Let the height be h. Then width = h + 2

By Pythagoras Theorem, h^2 + (h + 2)^2 ...

Solution Summary

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