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icang [17]
3 years ago
5

Given a right cone with base area b and height h, what is the formula for the volume?

Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0
1/3 of bh
Hope this helps
olga nikolaevna [1]3 years ago
3 0
The formula for a right cone:

V = πr^2(h/3)

V: Volume
r: radius
h: height
πr^2 = base area of a cone

Answer
The formula for the volume in terms of base area b and height h is: V = b(h/3)
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Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

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3 years ago
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Question no. 6, can anyone help?
monitta
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