A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?
1 answer:
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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.
Answer:
The answer is 118.
Step-by-step explanation:
First we need to subtract the meal cost from average unit cost for each meal:
A restaurant profits 1.25$ for each meal. If we divide fixed cost to profit for each meal:
The restaurant have to sell 118 meals at least each day for the owner to break even
Answer:
The degree of the polynomial is 3
Step-by-step explanation:
Given:
To Find:
The degree of the polynomial= ?
Solution:
The degree of the polynomial is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial
Here in the given polynomial
The terms are
The term has the largest exponent of 3
Note: The degree of the polynomial does not depend on coefficients of the terms