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Mathematics 22 Online
OpenStudy (anonymous):

Cone volume, 2 questions. Picture of the questions with diagrams below.

OpenStudy (anonymous):

OpenStudy (sleepyjess):

Do you know the formula for area of a cone?

OpenStudy (anonymous):

they're both volume, my bad.

OpenStudy (sleepyjess):

Oh, whoops, I had area in my mind from the post haha

OpenStudy (sleepyjess):

Ok, so do you know the formula for volume of a cone?

OpenStudy (anonymous):

yeah, i just figured that out. but i do need you to check an area question that I answered if you don't mind

OpenStudy (sleepyjess):

area? ok haha

OpenStudy (anonymous):

OpenStudy (anonymous):

nope wait volume too lol

OpenStudy (sleepyjess):

ok,so you need that one checked?

OpenStudy (sleepyjess):

If so... technically none of the answers are correct... pi is not involved in the volume of an oblique cone

OpenStudy (anonymous):

The volume formula for a cone is \( \frac{bh}{3} \) where \(b\) is the base area and \(h\) is the height. Since your base is circular then the base area will be \(\pi r^2\) and in this case since the radius is \(10_{cm}\) then \(b = \pi \cdot 10_{cm}^2 = 100\pi_{cm^2}\). The height is \(16_{cm}\) so: $$ V = \frac{100\pi_{cm^2} \cdot 16_{cm}}{3} = \frac{1600\pi_{cm^3}}{3} $$Your aswer is correct =)

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