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Cerrena [4.2K]
3 years ago
11

The circumference of a cylinder is 20 inches and the volume is 600 cubic inches. Calculate the height.

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

h = 18.88 inches

Step-by-step explanation:

Given that,

The circumference of a cylinder is 20 inches

The volume of the cylinder, V = 600 cubic inches

We need to find the height of the cylinder. We know that the volume of a cylinder is given by :

V=\pi r^2h

r is radius

We know that,

circumference = 2πr

r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}

So,

h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}

So, the height of the cylinder is 18.88 inches.

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Answer:

1.x^2

2.x+8

3.x

4. 8x

Step-by-step explanation:

Length of old is x inches.

Because it is square we have that area of the old canvas : x^2

When we read : width of new is increased by 8 so : x+8

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The difference of areas:

Old canvas : A1=x^2

New canvas : A2=x(x+8)=x^2+8x

Now we can find A2-A1:

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3 years ago
The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than
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Answer:

8 times larger.

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The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

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<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = 2x

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by  volume of small sphere:-</u></em>

For smaller sphere: Radius = x

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Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

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Now, we will divide volume of the larger by the smaller one:

=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\  \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\  \times\frac{1}{x^{3} }

\frac{4}{3}\pi\   is \ canceled\  by\  \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }

<u>Now, we have</u>

= \frac{8}{1}

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4 years ago
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Answer:

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