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zepelin [54]
3 years ago
6

The diameter of a dome is 28 inches. What is the volume? Leave in terms of pi.

Mathematics
1 answer:
MArishka [77]3 years ago
4 0
To find the volume of a dome, you would have to find the volume of the sphere, theoretically, and then divide it by two. To calculate the volume, we would use the formula 4/3 \pi r^{3}. The radius (r) in this case is half of the diameter which is 14. 4 x 3.14 (pi) = 12.56. 12.56 x 14 x 14 x 14 (2744) = 34464.64. If we divide this number by 3, we get 11488.2133. If we divide this by 2 (to get the dome), we get 5744.10656. Which would be 5744.1 rounded to the nearest tenth.
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Answer:

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Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

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So, our exponential function is now:

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Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

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