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
That would be:-
x^2 + x - 72 = 0
(x + 9)(x - 8) = 0
smallest number is 8
When a function is translated, it means the function is moved away from its original position.
<em>The function g(x) is: </em>
<em />
Give that:
The rule of translation 5 units left is:
So, we have:
The rule of translation 3 units down is:
So, we have:
Hence, the function g(x) is:
Read more about translations at:
brainly.com/question/12463306
Based on the table given on the punch recipe, the correct answers are:
- 48 cups.
- 48 cups.
- 8
- 8 cups of frozen strawberry.
<h3>What does the table on the punch recipe show?</h3>
3 gallons of punch in cups is:
= 16 cups per gallon x 3 gallons
= 48 cups
The amount that Chandra should multiply each ingredient by is:
= 48 cups / 6 cups per recipe
= 8
The number of cups of frozen strawberries needed is:
= 8 x 1
= 8 cups
Find out more on ratios and quantities at brainly.com/question/24910157.
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