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3 years ago

Two similar cylinders have volumes of 480cm3 and 60cm3.

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

a,480 over 60=80cm3

b,(c over 24)the whole cubed=480 over 60

c*60=24*480

c=11520/60

=192

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7(5-4x) in distributive property

kati45 [8]

Answer:

Distributive Property : a(b+c)= ab+ac

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<h3>(35-28x) is the right answer.</h3>

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2 years ago

Write this statement as a conditional in if-then form:. . All triangles have three sides.. . (1 point). If a triangle has three

ehidna [41]

The correct answer is:

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Explanation:

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3 years ago

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A sphere of radius r is cut by a plane h units above the equator, where

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$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

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3 years ago

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katen-ka-za [31]

The answer is the letter B

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r-ruslan [8.4K]

Answer:

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2 years ago