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1 year ago

A right cylinder and an oblique cylinder have the same radius and the same height. How do the volumes of the two

Mathematics

1 answer:

Novosadov [1.4K]1 year ago

7 0

Answer:

A. The volumes are the same, based on Cavalieri's principle.

Step-by-step explanation:

Cavalieri's principle tells us the volumes of solids will be identical if their cross sectional areas are identical at every height.

<h3>Application</h3>

A right cylinder and an oblique cylinder of the same height and radius will both have circular cross sections of the given radius at any height. Since the radius is the same, the area of the circle is the same. Hence the requirements of Cavalieri's principle are met, and the cylinders have the same volume.

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Nine million ninety thousand nine hundred and ninety-nine ten-thousandths

vfiekz [6]

9,090,900.0099 is the answer.

8 0

2 years ago

What is mZG?<br>Enter your answer in the box. <br><br>FGH<br>(x-5)°<br>(3x+24)°<br>x°

lapo4ka [179]

Answer:

The angle for G is 121°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :

x + (x - 5) + (3x + 25) = 180°

5x + 20° = 180°

5x = 160°

x = 32°

Next, you have to find the angle of G :

G = 3x + 25

G = 3(32) + 25

G = 96° + 25°

G = 121°

5 0

2 years ago

manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe

Naddik [55]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32$

he then turns around and grabs that money and sticks it for another 9 years,

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64$

add both amounts, and that's how much is for the whole 21 years.

6 0

3 years ago

K-17=-12 I need help solveing this

Fed [463]

Remember, you can do ANYTHING to an equaiton as long as you do it to BOTH SIDES

we can try to get k by itself bymaking that -17 into 0 since k+0=k

-17+17=0 right so

K-17=-12
add 17 to BOTH SIDES
K+17-17=17-12
K+0=5
K=5

5 0

2 years ago

Read 2 more answers

The diagonals of a square measure 14 cm. Which is the length of a side of the square? f.142√ cm g.72√ cm h.143√ cm j.73√ cm

Lera25 [3.4K]

Since it is a square, the diagonals are congruent. If a square is split like this, it becomes two congruent right triangles. The relationship between the sides and hypotenuse is a 1: $\sqrt{2}$ ratio. So if the diagonal of a square is 14 cm, then the side length would be 14/ $\sqrt{2}$ , which is approximately 9.899. I don't understand what the answer choices are, but you should be able to square root the numbers to determine the answer.

8 0

3 years ago