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Liono4ka [1.6K]
3 years ago
8

A boat traveling upstream goes 84 kilometers in 7 hours. If the return trip takes only 3 hours, what is the speed (in kilometers

per hour) of the boat still in water?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0
Speed = Distance ÷ time 

Speed upstream = 84 ÷ 7 = 12 km/h

Speed downstream = 84 ÷ 3 = 28 km/h

Speed in still water = 1/2(28 + 12) = 20 km/h

Answer: 20 km/h
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The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)
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The sphere is 10762 cubic centimeters bigger than the cube.

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

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

V=\frac{4}{3}\pi r^3

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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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\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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