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3 years ago

13

How do you solve that?

2 answers:

Aleks [24]3 years ago

7 0

Put it in the form

ax^2 + bx + c = 0

use the quadratic formula

x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a

x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a

7v^2 - 7v - 22 = 0

a = 7
b = -7
c = -22

v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34

v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34

nikitadnepr [17]3 years ago

4 0

Answer:

19

Step-by-step explanation:

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A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

<u><em>Taking the value </em></u> $\pi$ <u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

<em>Multiplying both sides by 3 we get:</em>

$18=12.56h$

<em>Dividing both sides by 12.56 we get:</em>

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

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Answer:

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Step-by-step explanation:

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