What are the formulas for the volumes of a sphere, a cone with a height equal to its radius, and a cylinder with its height equa
l to its radius? How are these formulas related? Plz help
2 answers:
Sphere=(4πr^3)/3
cone=(hπr^2)/3
cylinder=hπr^2
They are all volumes of revolution of the form ⌠πf(x)^2 dx
The volume <span>of a </span>sphere:<span>
V = </span>
× × r³
The volume of a cone:
V = r² The volume of a cylinder:
V = r²h
<em>Hmm... they're related because, um, the all have radius, pi and a </em>
<em /><em>(²) or (³) </em>✌
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<span>Since: v =sqrt(3)/2 s^2h
6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
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