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2 years ago

In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches

Mathematics

1 answer:

Kitty [74]2 years ago

3 0

The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

<h3>What is a cylinder?</h3>

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

Diameter d = 8in
Radius r = d/2 = 8in/2 = 4in
Height = h
Volume of the cylinder V = ?

V = π × r² × h

V = π × (4)² × h

V = π4²h

Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

Learn more on volume of cylinder here: brainly.com/question/16788902

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If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
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Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
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Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

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Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

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I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

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