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3 years ago

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A cylinder has a radius of 5 inches and a height of 9 inches. What is the volume of the cylinder in cubic inches? Use 3.14 for π

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1 answer:

zlopas [31]3 years ago

6 0

Okkaay so this would be 3.14 x (5x5) x 9 = <span>706.5
V=</span>πr2h

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Answer this volume based Question. I will make uh brainliest + 50 points

Harlamova29_29 [7]

Answer:

$\huge{\purple {r= 2\times\sqrt[3]3}}$

$\huge 2\times \sqrt [3]3 = 2.88$

Step-by-step explanation:

For solid iron sphere:
radius (r) = 2 cm (Given)

Formula for $V_{sphere}$ is given as:

$V_{sphere} =\frac{4}{3}\pi r^3$

$\implies V_{sphere} =\frac{4}{3}\pi (2)^3$

$\implies V_{sphere} =\frac{32}{3}\pi \:cm^3$

For cone:
r : h = 3 : 4 (Given)
Let r = 3x & h = 4x

Formula for $V_{cone}$ is given as:

$V_{cone} =\frac{1}{3}\pi r^2h$

$\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)$

$\implies V_{cone} =\frac{1}{3}\pi (36x^3)$

$\implies V_{cone} =12\pi x^3\: cm^3$

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
$\implies V_{cone} = V_{sphere}$

$\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}$

$\implies 12x^3= \frac{32}{3}$

$\implies x^3= \frac{32}{36}$

$\implies x^3= \frac{8}{9}$

$\implies x= \sqrt[3]{\frac{8}{3^2}}$

$\implies x={\frac{2}{ \sqrt[3]{3^2}}}$

$\because r = 3x$

$\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}$

$\implies r=3\times 2(3)^{-\frac{2}{3}}$

$\implies r= 2\times (3)^{1-\frac{2}{3}}$

$\implies r= 2\times (3)^{\frac{1}{3}}$

$\implies \huge{\purple {r= 2\times\sqrt[3]3}}$
Assuming log on both sides, we find:

$log r = log (2\times \sqrt [3]3)$

$log r = log (2\times 3^{\frac{1}{3}})$

$log r = log 2+ log 3^{\frac{1}{3}}$

$log r = log 2+ \frac{1}{3}log 3$

$log r = 0.4600704139$

Taking antilog on both sides, we find:

$antilog(log r )= antilog(0.4600704139)$

$\implies r = 2.8844991406$

$\implies \huge \red{r = 2.88\: cm}$

$\implies 2\times \sqrt [3]3 = 2.88$

8 0

2 years ago

Let v = 3i + 2j and w = 2i + 3j. Sketch v, w, v + w, 2w, and v − w in the plane

Nimfa-mama [501]

Answer:

Step-by-step explanation:

In the argand plane for plotting points of complex numbers we take i coefficient as x and j coefficient as y and plot as we plot regular points on the graph.

v=3i+2j

Point is (3,2) A

w =2i+3j , Point is (2,3) B

v+w = 5i +5j Point is (5,5) C

2w = 4i+6j , point is (4,6)

v-w = i-j Point (1,-1)

Please find enclosed the above points plotted on the graph.

5 0

3 years ago

The committee is planning to have frozen fruit bars for desert. If frozen fruit bars come in boxes of 12, how many boxes of froz

lesya [120]

Answer:

Kindly check explanation

Step-by-step explanation:

Based on the infomation given :

Number of frozen fruit per box = 12

The number of people the makes up the committee should be given on other to obtain an exact answer.

To obtain the number of boxes of frozen fruits :

We divide the Number of committee members by the number of frozen fruits per box ; that is

1f number of committee members = x

Number of frozen fruits per box = 12

Number of boxes to order = x / 12

If number of committee members is given, substitute the number for X

7 0

3 years ago

Three friends go bowling the cost per person per game is $ 5.30 the cost to rent shoes is $ 2.50 per person.Their total cost is

siniylev [52]

Find cost of shoes first (7.50)
subtract from the total value (55.20-7.50= 47.7)
then divide by 5.30 (47.7/ 5.3= 9)

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3 years ago

What is the product 4n/4n-4 n-1/n+1

olga_2 [115]

4n/4n-4 × n-1/n+1
= 4n(n-1)/(4n-4)(n+1)
= (4n^2 - 4n)/(4n^2 + 4n - 4n-4)
= (4n^2 - 4n)/(4n^2 - 4)
= 4(n^2 - n)/4(n^2 - 1)
=(n^2 - n)/(n^2 - 1)

5 0

3 years ago