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kumpel [21]
3 years ago
8

A round balloon has a diameter of 7 inches

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter (D), in inches, of the round balloon to an entirely decimal mode:

D = 7\,in + \frac{3}{8}\,in

D = \frac{56 + 3}{8}\,in

D = \frac{59}{8}\,in

D \approx 7.375\,in

The volume of the balloon is modelled after the volume function of a sphere (V), in cubic inches:

V = \frac{\pi}{6}\cdot D^{3} (1)

If we know that D \approx 7.375\,in, then the volume of the round balloon is:

V = \frac{\pi}{6}\cdot D^{3}

V = \frac{\pi}{6} \cdot (7.375\,in)^{3}

V \approx 210.031\,in^{3}

Hence, the right answer is approximately 210.031 cubic inches.

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Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

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First, you have to find the slope using the following formula:

m=\frac{y2-y1}{x2-x1}

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Then, you can find the equation using the point/slope formula:

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