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Monica [59]
3 years ago
5

The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone?

Mathematics
2 answers:
gulaghasi [49]3 years ago
5 0

Answer:

32π cubic units

Step-by-step explanation:

got 100%

Maslowich3 years ago
3 0
V = \pir^2h/3

V = 3.14 x 4^2 x 6/3       (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
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Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
3 years ago
Solve the simultaneous equation x^2-4y^2=9 and x+2y=1​
Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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mojhsa [17]

9514 1404 393

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Step-by-step explanation:

Angle Z is not the right angle, so the rays that make up the angle are ...

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LUCKY_DIMON [66]
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5x-2x= 2-3

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