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erastova [34]
3 years ago
6

Find the exact volume of a waffle ice cream cone with a 9​-in. diameter and a height of 15 inches.

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

The volume of a cone is:

V_{cone}=\dfrac{1}{3}\pi r^2h, where r is base's radius, h is cone's height.

If diameter is 9 in, then radius is 4.5 in and

V_{cone}=\dfrac{1}{3}\pi (4.5)^2\cdot 15=101.25\pi.

Answer: V_{cone}=101.25\pi.

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Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
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The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

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The mean value of function within a given interval is given by the following integral:

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If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

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