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3 years ago

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of .

Mathematics

2 answers:

Alchen [17]3 years ago

5 0

Answer:

904.78 is the answer

volume = 4/3 π r cubed

UNO [17]3 years ago

3 0

Answer:

288π

That is exact value in terms of pi.

Step-by-step explanation:

So if the diameter is 12, the radius is 6.

The volume of a sphere is $\frac{4}{3} \pi r^3$

Since r = 6, the volume is $\frac{4}{3} * 216\pi$

Which is 288π

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Unit 3 homework 6 Gina Wilson

Sonja [21]

Answer:

5) The equation of the straight line is 2 x - y + 1 =0

6) The equation of the straight line is x + y -5 =0

7) The equation of the straight line is 5 x + 6 y - 24 =0

8) The equation of the straight line is x - 4 y -4 =0

9) The equation of the parallel line is 3x + y -19 =0

Step-by-step explanation:

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (1,3) , ( -3,-5)

$m = \frac{-5-3 }{-3-1 } = \frac{-8}{-4} = 2$

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

$y - 3 = 2 ( x - 1 )$

y = 2x - 2 +3

2 x - y + 1 =0

The equation of the straight line is 2 x - y + 1 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (1,4) , ( 6,-1)

$m = \frac{-1-(4) }{6-1 } = \frac{-5}{5} = -1$

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

$y - 1 = -1 ( x - 4 )$

y - 1 = - x +4

The equation of the straight line is x + y -5 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (-12 , 14) , ( 6,-1)

$m = \frac{-1-(14) }{6+12 } = \frac{-15}{18} = \frac{-5}{6}$

$y - 14 = \frac{-5}{6} ( x - (-12) )$

6( y - 14 ) = - 5 ( x +12 )

6 y - 84 = - 5x -60

5 x + 6 y -84 + 60 =0

5 x + 6 y - 24 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (-4 , -2) , ( 4 , 0)

$m = \frac{0+2}{4 +4} = \frac{2}{8} = \frac{1}{4}$

$y - (-2) =\frac{1}{4} ( x - (-4) )$

4 ( y + 2) = x + 4

x - 4 y -4 =0

The equation of the line y = 3x + 6 is parallel to the line

3x + y + k =0 is passes through the point ( 4,7 )

⇒ 3x + y + k =0

⇒ 12 + 7 + k =0

⇒ k = -19

The equation of the parallel line is 3x + y -19 =0

4 0

3 years ago

Paul opened a bakery. The net value of the bakery (in

Umnica [9.8K]

Answer:

1) 2(t - 7)(t + 1)

2) $32,000

Step-by-step explanation:

v(t) = 2t² - 12t - 14

v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)

x = -b/2a = 6/2 = 3

y = 2(3)² - 12(3) - 14 = -32

(3, -32) means at 3 months, -32 thousand dollars

7 0

3 years ago

Read 2 more answers

An internet company charges $8.95 per month for the first 3 months that it hosts your Web site. Then the company charges $11.95

ira [324]

Answer:

$86.60

Step-by-step explanation:

1. Subtract 8-3=5

2. Multiply 3*8.95=$26.85

3. Multiply 5*11.95=$59.75

4. Add $26.85+$59.75=$86.60

7 0

4 years ago

What is 2/5 times 1/3

Sergeu [11.5K]

Answer:

2/15

Step-by-step explanation:

4 0

4 years ago

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Jack wants to find the height of an olive tree for a science project. Jack is 2 meters tall. He stands 6 meters away from the tr

artcher [175]

Answer:

D 4/10 = 2/x

Step-by-step explanation:

2/x represents the ratio of the man's height to the tree's height. The appropriate proportion will be one that ratios the man's shadow (4 m) to the tree's shadow (6+4=10 m).

The correct proportion is ...

4/10 = 2/x

3 0

4 years ago