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
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
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
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V_{2} = \frac{4}{3} * \pi * 3^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%203%5E3)
![V_{2} = \frac{4}{3} * \pi * 27](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%2027)
![V_{2} = \frac{108}{3} * \pi](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B108%7D%7B3%7D%20%2A%20%5Cpi)
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:
Step-by-step explanation:
The function t, where t(x) = 9.50x represents the amount of money Fernando earns given the number of hours, x, that he works.
The domain of a function are the set of possible values of x, the independent variable that satisfies the function.
Fernando works between 12 and 25 hours each week. It means that the statement that best represents the domain of this function for any given week would be
12 ≤ x ≤ 25
Answer:
D
Step-by-step explanation:
Think about the question, you can't say that i am wong.
Answer: 96ft
Step-by-step explanation:
Width times hight equals area. So 12x8=96ft
9/243
=9/(9*9*3)
=1/(9*3)
=1/27