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3 years ago

Use the formula for a cylinder r=4 h=8 v?

Mathematics

1 answer:

zzz [600]3 years ago

4 0

Answer:

$\large\boxed{V=128\pi\approx401.92}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2h$

We have r = 4 and h = 8:

$V=\pi(4^2)(8)=\pi(16)(8)=128\pi$

$\pi\approx3.14\to V\approx(128)(3.14)=401.92$

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Kharon needs to write 3 book reports with b pages and 3 science reports with s pages during the school year. Write an algebraic

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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3 years ago

One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po

lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

$f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y$

When x = 8, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0$

When x = 7, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}$

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

$tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}$

Where;

h = The height at which the laser meets the wall

$h = \dfrac{9 \times 7}{8} =7.875$

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

$y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet$

The height (in feet) at which the laser will impact the wall = 6.75 feet.

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3 years ago

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2 years ago