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

Question

3 years ago

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base area of the cone. What is the expression for the volume of the pyramid in terms of the radius rof the cone?

1 answer:

iris [78.8K] · Answer 1 · 2022-06-04T13:21:20+03:00

8 0

Answer:

v = 3πr^2

v=1/3bh

v=1/3(πr^2)h [because the bases are equal and the base of a cone is circle]

v=1/3(πr^2)(3r) [because the height is 3 times the radius]

v=π3r^2 [1/3 and 3 cancel and we times 3r and r^2]