Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container. a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.

Solution :

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

         = 3.14 x 3.5 x 3.5 x 21

         = 807.76 cm cube

b). Volume of each tennis ball is given by :

       =  179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

                                                    = 538.50 cm cube

    Therefore, percentage of the container taken up by the three tennis ball is :

= 50 %

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the answer is z7+8/5