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3 years ago

6

PLEASE HELP, WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!111

1 answer:

goldfiish [28.3K]3 years ago

6 0

To get the answer, you must solve 5656 / 3434 which = 1.64
The closest answer choice that matches this is the last one: 1 3/5 cup

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Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

$\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr$

$\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du$

(where $u=4-r^2$ )

$\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du$

$=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi$

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3 years ago

A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour d

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Use the formula for volume of a cone

V = 1/3 pi r^2 (h)

V = 1/3 pi 66^2 (18)

V= 1/3 pi 4356(18)

V = 1/3 pi 78408

V = 1/3 264,201.12

V = 82,067.04cm^3

5 0

3 years ago

Does anyone else have the problem of people answering your brainly questions and then someone links a virus as an answer?

prohojiy [21]

Answer: Yes all the time!! Just don't open them!! Is there a problem you need help with so i can maybe help! I don't send links i send actaul information!

Step-by-step explanation:

6 0

3 years ago

Given: F(x) = 3x^2+1, G(x) = 2x - 3, H(X) = x<br> Find F(x) + G(x) =

weqwewe [10]

$F(x)+G(x)=3x^2+2x-2.$

Solution:

Given data: $F(x)=3x^2+1$ and $G(x)=2x-3$

To find F(x) + G(x):

Adding two functions which gives another function.

Substitute F(x) and G(x), we get

$F(x)+G(x)=(3x^2+1)+(2x-3)$

$=3x^2+1+2x-3$

$=3x^2+2x-3+1$

$=3x^2+2x-2$

$F(x)+G(x)=3x^2+2x-2$

Hence, $F(x)+G(x)=3x^2+2x-2.$

4 0

3 years ago

Find the midpoint of the segment connecting (4,7) to (-2,3).

Vadim26 [7]

Answer:

<h2>Midpoint (1 , 5)</h2>

Step-by-step explanation:

Let (x , y) be the coordinates of the midpoint then:

$x=\frac{4+(-2)}{2} = 1\\\\y=\frac{7+3}{2} =5$

6 0

3 years ago