Let D be the smaller cap cut from a solid ball of radius units by a plane from the center of the sphere. Express the volume of D
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Answer:
Area of sidewalk =
Bags of concrete = 277
Step-by-step explanation:
The diameter of the circular fountain is 28 ft. Radius = 28 / 2 = 14 ft
The thickness of the sidewalk is 3.5 ft. This means they want to add 3.5 ft to each radius of the fountain.
To find the area of the sidewalk alone, we have to find the area of the sidewalk alone and then subtract it from the area of the sidewalk and fountain.
That is:
The fountain is circular and its radius is 14 ft. Hence, its area will be:
The sidewalk and fountain together also form a circular shape. Their joint radius will be:
R = 14 + 3.5 = 17.5 ft
Hence, the area will be:
Hence, the area of the sidewalk alone will be:
This is the area of the sidewalk.
For every square foot (), 0.8 bag of concrete will be used. This means that for
:
Bags of concrete = 0.8 * 346.5 = 277.2 ≅ 277
At least 277 bags of concrete will be used for the new sidewalk.
The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.
Then the new matrix is given as 3A + B. Then we have
More about the matrix link is given below.
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