The figure is made up of a hemisphere and a cone.

Mathematics

2 answers:

Leto [7]2 years ago

4 0

Answer:

This answer is close. Im not 100% sure it is the exact answer but i'm pretty sure it is correct

ANSWER:2412.74029242

Step-by-step explanation:

hope this helped let me know how it goes :)

Angelina_Jolie [31]2 years ago

4 0

Answer:

768

Step-by-step explanation:

I took the test

You might be interested in

Choose the example of an inverse relationship

iren2701 [21]

The mathematical explanation is that if f(x) = x + 2 and y (x) = x -2, the relationship is inverse. Also, f(x) = -x and f(x) = 1/x to eliminate a zero value.

7 0

2 years ago

(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the vo

kipiarov [429]

Let $R$ be the ellipsoid with equation

$\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1$

so that the volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV$

Consider the augmented spherical coordinates given by the identities

$\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}$

Computing the Jacobian, we find that the volume element is given by

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv$

so that the volume integral can be written as

$\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3$