Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³
 
        
             
        
        
        
<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
 and
 and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to  .
.
Let  be the measure of the complementary angle.
 be the measure of the complementary angle.
If an angle is  more than its complementary angle, the measure of that angle is
 more than its complementary angle, the measure of that angle is  . The sum of both angles are expressed
. The sum of both angles are expressed  but since the have to add to
 but since the have to add to  as they are complementary,
 as they are complementary,  .
.
Solving for  :
:

Since the other angle measures  , we can plug in the value of
, we can plug in the value of  to find the measure of the angle.
 to find the measure of the angle.
Evaluating  :
:

The measure of the angles are  and
 and 
 
        
        
        
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
brainly.com/question/343682
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