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Alexandra [31]
3 years ago
9

Find the volume in cm³ of a length of pipe which has these measurements. Volume of a cylinder = πr²h π = 3.14.

Mathematics
2 answers:
Luda [366]3 years ago
6 0
Answer is
3.14 × 5 × 5 × 200
= 15700
{cm}^{3}
denis-greek [22]3 years ago
4 0

Answer:

Volume of cylinder(V) is given by:

V = \pi r^2h            ....[1]

where, r is the radius of the cylinder and h is the height of the cylinder

From the diagram:

Diameter of a pipe (d) = 10 cm

height of the pipe(h) = 2m    

Use conversion:

1 m = 100 cm

then

2m  = 200 cm

⇒h = 200 cm

Since, a pipe is in the form of cylinder.

We have to find the volume of a pipe.

We know that:

d = 2r

⇒10 = 2r

Divide both sides by 2 we get;

5 = r

or

r = 5 cm

Substitute the given values and use  π = 3.14. in [1] we have;

V = 3.14 \cdot 5^2 \cdot 200

Simplify:

V = 15,700 cm^3

Therefore, the volume of a pipe in cm³ is, 15700

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RideAnS [48]
Well, first off, let's find what is the slope of BC

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
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%   (c,d)
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\end{array}
\\\\\\
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\\\\\\
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now, a line perpendicular to that one, will have a negative reciprocal slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies  -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}

now, we know the slope "m" of AB is -2 then, thus

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
%   (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
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2 years ago
Can someone help me? It's urgent and thank you!
Alex_Xolod [135]

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

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