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Julli [10]
2 years ago
7

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.

Mathematics
2 answers:
zavuch27 [327]2 years ago
7 0

Answer:

answer is d

Step-by-step explanation:

hope this helps

asambeis [7]2 years ago
4 0

9514 1404 393

Answer:

  V = (2/3)(11)

Step-by-step explanation:

The given cylinder has a height of 2r, so its volume is ...

  V = πr²(2r) = 2πr³

The volume of a sphere is given by ...

  V = 4/3πr³

Then the ratio of the volume of the sphere to the volume of the cylinder is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

So, the volume of the sphere is 2/3 times the volume of the cylinder:

  V = (2/3)(11)

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What is 1000 to the power of 4
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1*10^12
Which means like 11 0's at the end of the 10
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Help me please asap I need to know fully how to solve this problem
vivado [14]
Consider the absolute value, because we only worry about the quadrant later.

\text{Consider: } sin(A) = |-\frac{\sqrt{3}}{4}|
sin(A) = \frac{\sqrt{3}}{4}

Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.

The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

\therefore tan(A) = \pm \sqrt{\frac{3}{13}}

Since angle A is in the third quadrant, the tangent function will produce a positive angle.

tan(A) = \sqrt{\frac{3}{13}}
\text{Rationalise the denominator: } \frac{\sqrt{3}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}

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7 0
3 years ago
write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0
2 years ago
Each table in a classroom is 100cm long and 50cm wide. what is the area of each table? there are 16 tables in the classroom. wha
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Answer:

A

Step-by-step explanation:

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