exam Maths Puzzle Numerical Ability

Right triangle ABC has legs with lengths 19 and 95 units. The triangle is to be rotated in space about one of its three sides. What is the maximum possible volume of the resulting

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Given: RS=ST .---------.---------.
Prove: RT=2ST R S T

What are the Statements and Reasons for this proof?</PRE>
P(x) = -.2x^2 +300x-200. What is the profit if 500 are sold? What value of x will the profit be at a maximum?