Avin and andrea are two of the children in the jones family gavin has as many brothers as sister andrea has twice as many as man
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The volume of the prop is calculated to be 2,712.96 cubic inches.
<u>Step-by-step explanation:</u>
Step 1:
The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.
The volume of the cone : =
= 1,186.92 cubic inches.
Step 3:
The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 9 inches. We take π as 3.14.
The volume of a full sphere = =
= 3,052.08 cubic inches.
The volume of the half-sphere = = 1,526.04 cubic inches.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.
For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B