Answer:
<h2>The cup can hold 240π cubic centimeters of water.</h2>
Step-by-step explanation:
Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.
Solving for 
, we have
Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.
The volume of a cylinder is defined as
Where 
is the radius and 
is the height. Replacing values, we have
Therefore, the cup can hold 240π cubic centimeters of water.
Answer: the length of Maria's piece of string is 45 inches.
the length of Katy's piece of string is 39 inches
Step-by-step explanation:
Let x represent the length of Maria's piece of string.
Let y represent the length of Katy's piece of string.
When they put the two pieces of string together end to end, the total length is 84inches. This means that
x + y = 84 - - - - - - - - - - - -1
Maria's string is 6 inches longer than Katy's. This means that
x = y + 6
Substituting x = y + 6 into equation 1, it becomes
y + 6 + y = 84
2y + 6 = 84
2y = 84 - 6 = 78
y = 78/2 = 39
x = y + 6 = 39 + 6
x = 45
y+2 = 3x
subtract 2 from each side
y = 3x-2
Answer:
12 I think?
Step-by-step explanation:
