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Ivanshal [37]
3 years ago
14

The new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. What is the volume of the dolphin tank? Ro

und to the nearest tenth. Use 3.14 for mc019-1.jpg.
9,420.0 cubic feet

88,312.5 cubic feet

94,200.0 cubic feet

353,250.0 cubic feet
Mathematics
2 answers:
Arturiano [62]3 years ago
8 0
The dolphin tank is similar to a cylinder. To find the volume of a cylinder, you use the formula:πr²h=V
For pi, we are using 3.14 and the height is 20 while the radius is 75.
3.14×75²×20
3.14×5,626×20
17,662.5×20=353,250
The volume is 353,250.0 ft³, which is the fourth answer.
zheka24 [161]3 years ago
3 0

Answer:

353,250.0 cubic feet

Step-by-step explanation:

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Amanda [17]

The number of comic books is an illustration of a linear function

  • The complete equations are: \mathbf{8b + 17 =65} and \mathbf{b =6}
  • The value of b has increased by 4

She had 17 comic books already.

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\mathbf{Base\ Amount = 17}

Her order of 65 books contains 8 comic books per collection.

So, we have:

\mathbf{Rate = 8}

\mathbf{Total = 65}

This is represented as:

\mathbf{Rate \times b + Base\ Amount =Total}

So, we have:

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\mathbf{8b + 17 =65}

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\mathbf{b =6}

Assume she has 97 books in her collection, then the equation would be represented as:

\mathbf{8b + 17 = 97}

Subtract 17 from both sides

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Divide both sides by 8

\mathbf{b  = 10}

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ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle
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The value of the <em>shaded</em> area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector (A), in square centimeters:

A = \frac{\theta\cdot \pi \cdot R^{2}}{360} (1)

Where:

  • R - Length of the radius, in centimeters.
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If we know that \theta = 40^{\circ} and R = 10\,cm, then the area of the circle is:

A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}

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The value of the <em>shaded</em> area is approximately 34.907 square centimeters. \blacksquare

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