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Alex787 [66]
3 years ago
14

The volume of a cone is 1/3 that of a cylinder when the radius and height are the same (v= 1/3(pi)(r)^2(h). What is the volume o

f a cone with a radius of 10 inches and a height of 12 inches.
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Surface Areas and Volumes.

Since, Volume of cone = 1/3 π r^2 h,

here, r = 10 Inches and h= 12 inches, also π =3.14

so, VOC = 1/3 π (10)^2 × (20)

VOC = 1/3(3.14)(100)(20)= 2093.33 inch^3

=> so the volume of the cone is 2093.33 cubic inches.

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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
Hayden is building toy cars. Each car needs 4 wheels. How many wheels will Hayden use to build 3 toy cars?
ycow [4]

Answer:

12

Step-by-step explanation:

Three cars each need 4 wheels, so that is...

4 + 4 + 4 wheels, which is 12 wheels

8 0
3 years ago
Multiply (6x+4y)(6x-4y)
MAXImum [283]
<h2><u><em>36x squared - 16y squared </em></u></h2>
6 0
3 years ago
71+50+6x-1=180<br> excuse the 121
UNO [17]

Answer:

9 1/3

Step-by-step explanation:

That is wrong i tried to answer it but messed up so don't use it

6 0
3 years ago
Read 2 more answers
The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x -
Zepler [3.9K]
Sum means addition 
negative 18 means -18
a number can be x
Sum of negative 18 and x should be 11
thus the equation is
-18+x=11
3 0
3 years ago
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