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kompoz [17]
2 years ago
5

If h= 13 units and r= 4 units, then what is the approximate volume of the cone shown above?

Mathematics
1 answer:
Rufina [12.5K]2 years ago
6 0

Answer:

≅217.82

Step-by-step explanation:

The volume of a cone of radius 4 is one third the area of the base B multiplied by the height (13).

therefore;

                V = 1/3πr²h

               Substituting the values in the equation gives;

               V = 1/3π(4)²(13)

               V ≅ 217.82 cubic units  

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In the figure, lines a and b are parallel.
navik [9.2K]

Answer:

<h2>m∠2 = m∠1</h2><h2>m∠1 = 75°</h2>

Step-by-step explanation:

Look at the picture.

Vertical angles, corresponding angles, alternate exterior angles are congruent.

Supplementary angles add up to 180°.

5 0
3 years ago
G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
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So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
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as expected.
6 0
3 years ago
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Answer:

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At N = 6 ⇒ P = $2.56

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5 0
3 years ago
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3 years ago
I don't understand 13 can someone help
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