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ra1l [238]
4 years ago
15

A cone has a radius of 6 inches and a height of 20 inches. What is the exact volume of the cone? A) 720π in3 B) 80π in3 C) 240π

in3 D) 120π in3
Mathematics
2 answers:
jasenka [17]4 years ago
8 0
The formula for finding volume of a cone is: (π · r² · h) ÷ 3

r = 6
6² = 6 × 6 = 36

h = 20

20 × 36 × π = 240π

Your answer is C. 240π
SIZIF [17.4K]4 years ago
3 0
The answer is c. 240π
V=πr² h/3 =π×6²× 20/3 ≈753.98224
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x<15, probably

Step-by-step explanation:

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Mark earned a 64 on his last science quiz. If Mark’s z-score was -2.8 and the standard deviation was 10, find the mean grade on
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Step-by-step explanation:

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The density of a American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circ
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Check the picture below.

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=4.5 \end{cases}\implies 4.5=2\pi r\implies \cfrac{4.5}{2\pi }=r \\\\[-0.35em] ~\dotfill

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} h=8\\ r=\frac{4.5}{2\pi } \end{cases}\implies V=\pi \left( \cfrac{4.5}{2\pi } \right)^2(8)\implies V=\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \cdot \cfrac{20.25}{\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\underset{\pi }{\begin{matrix} \pi^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }}(\stackrel{2}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}})

\bf V=\cfrac{40.5}{\pi }~cm^3~\hspace{9em} \stackrel{\textit{since density is }752kg~per~cm^3}{density\implies 752\left( \cfrac{40.5}{\pi } \right)}\qquad \approx ~~9694

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