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evablogger [386]
3 years ago
6

Hi guys I am new here. Let me introduce myself . Jasmin, 15 years old and in 9th class. Hope I will have a good time in here.​

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

Hope so too

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

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V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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which is a standard integral so we solve it to:

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so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

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