(Solved): 3 of 3 (b) Find the midpoint D of AC. (c) Write down the equation of the circle that has AC as diame ...

3 of 3 (b) Find the midpoint

of

. (c) Write down the equation of the circle that has

as diameter. 4.7 Find the maximum vertical distance between the graphs of

and

on the interval

. Hint: First find an expression which defines this vertical distance. 4.8 Use the graphs of

and

(not calculations) to solve

Question 5 A glass tank is

long,

wide,

high and contains water. The surface of the water is 5

below the top of the tank. After a solid metal spherical ball

has carefully been placed into the tank, the surface of the water is

below the top of the tank. (The formula for the volume of a sphere (ball) is

.) 5.1 Calculate the volume of the ball. Hint: The volume of the ball is equal to the volume of water displaced by the ball. 5.2 Calculate the radius of the ball. Leave your answer in terms of

and a surd if necessary. 5.3 Suppose the radius of a second solid metal ball,

, is half the radius of ball

. Suppose ball

was put into the tank of water instead of ball

. Would the surface of the water be

below the top of the tank? Explain your answer. TOTAL: