Answer:
The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)
Step-by-step explanation:
Given
<em>Cylinder</em>
Radius = 3 inches
Height = 7 inches
<em>Sphere</em>
Radius = 3 inches
Required
The difference in the amount of wax needed to make a candle from each of these molds
The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds
The volume of a cylinder is calculated using
<em>V₁ = πr²h</em>
where r and h are the radius and the height of the cylinder, respectively.
r = 3 in and h = 7 in
The volume of a sphere is calculated using
where r is the radius of the sphere
r = 3 in
Calculating V₁
V₁ = πr²h
V₁ = π * 3² * 7
V₁ = π * 9 * 7
V₁ = π * 63
V₁ = 63π
Calculating V₂
V₂ = 36π
Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.
Difference = V₁ - V₂
Substituting 63π for V₁ and 36π for V₂
Difference = 63π - 36π
Difference = 27π
<em>(Taking π = 3.14)</em>
Difference = 27 * 3.14
Difference = 84.78
Hence, difference in the amount of wax needed is 84.78 in³
Answer:
(D)How many hours during the week do you eat in the cafeteria?
Step-by-step explanation:
This question directly gives her the information she needs. She wants to find out how much time students spend eating in the cafeteria and that is exactly what this question is asking.
Answer:
Simplified is 14V+653
Step-by-step explanation:
Answer:
1) View image attached
2) -3, -2.5, -1, 2, 5
3) -2.5
Step-by-step explanation:
1) Draw a number line, an image is shown below with the number line. You then put "points" on the values that you are plotting. This is also shown in the image attached.
2) The ones with the "-" are negative, meaning that they are below 0. These will always be smaller than those without a "-" sign. In addition to this, the way negative numbers work in terms of least to greatest is completely flipped. For example, -5 is greater than -10, and -10 is less than -5. If the numbers were positive, 5 would be less than 10 and 10 would be greater than 5.
3) The value that isn't an integer is the one that isn't a whole number. In those answer choices you gave, the only one with a decimal is -2.5 (as indicated by the ".5"
Answer:
Step-by-step explanation:
There are 3 possible triangles to find there within what appears to be one triangle. And since they are all part of the same largest triangle, they are also all similar. Just because 2 shapes may be triangles, so NOT mean they are automatically similar. Remember that!
The largest triangle is ΔABC
The triangle on the "left" is ΔADB, and
The triangle on the "right" is ΔCDB
