shaL4eonMir shaL4eonMir

10-06-2016
Mathematics

contestada

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?

Respuesta :

10-06-2016

Hello,

base of the pyramid :πr²
height=r

Volume=b*h/3=1/3* π*r^3

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HomertheGenius HomertheGenius

12-06-2016

B(cone)=B(pyramid)=r²π
V(pyramid)=1/3 * B * H = 1/3 * r² π * 3 r ( 3 will cancel out )= r³ π
Answer: r³ π

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