Mark has to pay a state tax of 10% and a federal tax of 25% on the amount he receives from selling his house. What steps would h
2 answers:
You might be interested in
Answer:
The center is of the whole target.
Step-by-step explanation:
Given:
Diameter of the center = 5 inches
Diameter of the whole target = 25 inches
We need to find the part of the center to the whole target.
Solution,
Firstly we will find out the areas of center and whole target.
For center;
Diameter = 5 in
Radius of circle is equal to half of the diameter.
radius =
Now we know that the area of circle is equal to π times square of the radius.
framing in equation form, we get;
Area =
For whole target;
Diameter = 25 in
Radius of circle is equal to half of the diameter.
radius =
Now we know that the area of circle is equal to π times square of the radius.
framing in equation form, we get;
Area =
Now to find the part of the center to the whole target we will divide Area of center with Area of the target.
framing in equation form we get;
the part of the center to the whole target =
Hence the center is of the whole target.
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius) - Volume of a cylinder =
(where r is the radius and h is the height) - radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3) x 21³ = 6174
in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196h = 6174
Divide both sides by : 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in