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2 years ago

What is the exact volume of the cone?

Mathematics

2 answers:

AlekseyPX2 years ago

7 0

The volume is 508.94 cm^3

Likurg_2 [28]2 years ago

5 0

volume of a cone = $\pi$ r²(h/3)

we are given the height (6cm) and radius (9cm) so we can plug in our values

$\pi$ 9²(6/3)

$\pi$ 81(2)

$\pi$ 162

since it is asking for an exact value for the volume, you can leave pi

v = 162 $\pi$ cm³

hope this helped

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2 years ago

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7nadin3 [17]

distribute the 8 to the 5 and x. then distribute 11 to 9 and x.

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2 years ago

9x +y=-5<br> Coefficient of x

V125BC [204]

Answer:

x=-14y

Step-by-step explanation:

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2 years ago

Given two points M & N on the coordinate plane, find the slope of MN , and state the slope of the line perpendicular to MN .

telo118 [61]

Answer:

Problem 1) $m = \dfrac{1}{4}$ $slope_{perpendicular} = -4$

Problem 2) $m = \dfrac{1}{3}$ $slope_{perpendicular} = -3$

Step-by-step explanation:

$slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$slope_{perpendicular} = \dfrac{-1}{m}$

Problem 1) M(9,6), N(1,4)

$slope = m = \dfrac{6 - 4}{9 - 1} = \dfrac{2}{8} = \dfrac{1}{4}$

$slope_{perpendicular} = \dfrac{-1}{\frac{1}{4}} = -4$

Problem 2) M(-2,2), N(4,-4)

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$slope_{perpendicular} = \dfrac{-1}{\frac{1}{3}} = -3$

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2 years ago

A town has accumulated 2 inches of snow, and the snow depth in increasing by 6 inches every hour. A nearby town has accumulated

earnstyle [38]

Town A starts with 2in and has a rate of accumulation of 6in every 1 hour
Town B starts with 9in and has a rate of accumulation of 3in every 1 hour

If X is number of hours then:

2+ 6X= 9+3X
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3x=7
X=7/3 is about 2 hours

7 0

2 years ago