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# (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

D

of

AC

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

AC

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

f

and

g

on the interval

xin[0;6]

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

f

and

g

(not calculations) to solve

f(x)*g(x)>=0

30

Question 5 A glass tank is

25cm

long,

20cm

wide,

30cm

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

cm

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

B_(1)

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

3cm

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

(4)/(3)\pi r^(3)

.) 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

\pi

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

B_(2)

, is half the radius of ball

B_(1)

. Suppose ball

B_(2)

was put into the tank of water instead of ball

B_(1)

. Would the surface of the water be

4cm

100