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ivann1987 [24]
2 years ago
9

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate

of change?
Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5
Mathematics
2 answers:
maksim [4K]2 years ago
7 0
-3.5 is the correct answer
ohaa [14]2 years ago
3 0

Answer:

3.5

Step-by-step explanation:

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ANSWER

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EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

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The volume of a sphere is given as:

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The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}

The volume of a cube is given as:

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The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}

Therefore, the difference in the volumes of the sphere and cube is:

\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

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