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3 years ago

12

CHECK MY ANSWER PLEASE!

1 answer:

Alex73 [517]3 years ago

7 0

Answer is <span>radius

radius is </span><span>line segment that connects the center of a circle to a point on that circle</span>

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

2 years ago

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a is 1200

We have to find sigma notation showing the infinite growth of the wildflowers.

$wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}$

Formula for infinite sum of GP is $S_{\infty}=\frac{a}{1-r}$

Here, $a=1200,r=\frac{1}{4}$

On substituting the values in the formula of sum we get:

$S_{\infty}=\frac{1200}{1-\frac{1}{4}}$

On simplification we get:

$S_{\infty}=\frac{1200}{\frac{3}{4}}=1600$

Therefore, total sum of wildflowers 1600.

5 0

3 years ago

Read 2 more answers

Answer quickly please <3

sertanlavr [38]

Answer:

x is greater than -5

Step-by-step explanation:

3 0

3 years ago

Brainliest. follow anything . box of chocolates contains seven milk chocolates and six dark chocolates. Five of the milk chocola

Olenka [21]

Answer:

8/13

Step-by-step explanation:

has the slightly lower numbers meaning 11/13 would be milk chocolate with peanuts, and 8/13 would be the dark chocolate

6 0

3 years ago

Read 2 more answers

Solve 8x2 + 6x + 5 = 0

MariettaO [177]

8 x 2 + 6x + 5=0
16 + 6x + 5=0
6x+21=0
6x+21-21=0-21
6x=-21
6x/6=-21/6
x=-7/2

5 0

3 years ago