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4 years ago

What is the answer? In need of help!

Mathematics

1 answer:

Svetlanka [38]4 years ago

3 0

Answer:

Step-by-step explanation:

You have to break down a problem such as this and solve it piece by piece.

First the box on the bottom.

2*2=4

Then the big triangle on the right of it.

6*2=12

12/2=6

Now the small triangle

2*2=4

4/2=2

And now for the big one

2+2+6=10

4*10=40

40/2=20

Now you add to get the area.

4+6+2+20=32

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Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the

kozerog [31]

<h2>Answer:</h2>

one cone within the cylinder.

<h2>Step-by-step explanation:</h2>

First of all we have to start with half of a sphere (also known as a hemisphere), whose radius is r, and calculate its volume. Then we can double our answer at the end to find the volume of the complete sphere. But first to apply the Cavalieri's Principle, we start with a cone with the same radius r and suppose the height is also r, so the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi r^{3}$

Next, let's look at a cylinder and suppose this cylinder also has a radius r and height r, so the volume of this cylinder is:

$V_{cylinder}=\pi r^{3}$

Next, we place the the cone inside the cylinder and the volume that's inside the cylinder, but outside the cone is:

$V_{cylinder}-V_{cone}=\pi r^{3}-\frac{1}{3}\pi r^{3}=\frac{2}{3}\pi r^{3}$

And this is the volume of a hemisphere. Finally, if we double this value we get the volume of a complete sphere, which is:

$V_{sphere}=\frac{4}{3}\pi r^{3}$

7 1

3 years ago

Read 3 more answers

Can some one help me Please

USPshnik [31]

Use area formula (length x width)
42 x 25.5 = 1,071

Divide by total cost of wall paper

1,071/771.25 = $1.38 per square foot

6 0

3 years ago

It takes Kasey 55 minutes to walk to school. When she starts her route. It takes her 14 minutes to get to the corner where the g

ki77a [65]

Add the time to get to the grocery store and then to the post office:
14 + 22 = 36 minutes
subtract that time from the total time it takes her:

55 - 36 = 19

she has 19 more minutes to get to school

4 0

4 years ago

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

Nadusha1986 [10]

Answer: $9.6\pi$

Step-by-step explanation:

Given

Curve is $y=3-3x^2$

boundary is y=0 i.e.

$\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1$

The volume of solid generated when rotated about the x-axis is

$\Rightarrow V=\int_a^b\pi y^2dx$

Putting values we get

$\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi$

8 0

3 years ago

The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current tempe

user100 [1]

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

3 0

3 years ago