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ANTONII [103]
3 years ago
5

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the

base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Mathematics
2 answers:
jeyben [28]3 years ago
8 0
It is said that the area of the base of the pyramid and that of the cone are equal. In this case, the are a of the square base is s^2 while the area of circle is pi r^2. Hence, s = sqrt pi * r. The volume of the pyramid has a formula of 1/3 bh. h is equal to 3r. Hence, V =  1/3 bh = 1/3 pi r^2 * 3r =  pi r^3. 
nataly862011 [7]3 years ago
7 0

Answer:

1/3 pi r^2 * 3r =  pi r^3.

Step-by-step explanation:

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Read 2 more answers
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If your install Bratleby on your device, It will help you with this. But you will have to put in an email. and it will give 10  questions to answer for free. Sorry that I cannot help you with this.

Step-by-step explanation:

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