Dave has 25 3/4 feet of piping and needs to cut it in 1 1/2 foot measurements for a project. How many pieces of piping will he e
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Answer:
The sear tower is times higher than the sears tower model
Step-by-step explanation:
we know that
The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor
Let
z------> the scale factor
x-------> the height of the model
y-------> the height of the actual
so
we have
substitute
simplify
Remember that
so
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.