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Kitty [74]
3 years ago
10

Find the volume of each cone below

Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

1442yd^{3} (nearest whole number)

Step-by-step explanation:

The volume of a cone is given by

V=\frac{1}{3} \pi r^{2} h

We are given both the radius (r) and height (h). Sub these values into their respective variables,

V=\frac{1}{3} \pi (9)^{2} (17)

Put this into the calculator and you will get V = 1441.9910....

Rounding this to the nearest whole number would be 1442yd^{3}

Hope this helped!!

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<u>Given</u>:

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<u>Length of the segment PA:</u>

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

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\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
3 years ago
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