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Pani-rosa [81]
3 years ago
12

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condi

tion to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

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A recipe calls for 2 1/2 Cups of flour and four eggs. If only three eggs are used, how many cups of flour should be used? Give y
MAXImum [283]

Answer:

Step-by-step explanation: write the equation in the form of a proportion

2 1/2 is to 4 as something is to 3

2 1/2 / 4 = x/3

Then, cross multiply 2 1/2 x 3 or

5/2 x 3/1 = 15/2

Next cross multiply 4•X= 4X

Write as 4X = 15/2

Divide both sides by 4.

4X/ 4 = 15/2 /4

x = 15/2÷ 4/1

Divide by changing the sign to multiplication and inverting 4/1 to 1/4 like this:. 15/2. × 1/4= 15/8

Finally, 15/8 simplifies to 1 7/8 cups

8 0
3 years ago
Which coordinate pair fits the set of coordinates {(0, 4), (-2, 1), (-4, -2)} defined by a linearfunction?
dedylja [7]

Answer:

y = 1.5x + 4

Step-by-step explanation:

Slope = (y2-y2)/(x2-x1)

= (1-4)/(-2-0) = -3/-2 = 3/2

y = (3/2)x + c

When x=0, y=4 (y-intercept is 4)

y = (3/2)x + 4

y = 1.5x + 4

6 0
3 years ago
Find the missing length
jenyasd209 [6]

Answer:12 m

Step-by-step explanation:

3 0
2 years ago
Write the equation in the slope intercept form of the line that passes through (-1,-5) and (1,5)
pychu [463]

Answer:

5-(-5)/1-(-1)=10/2=5 slope

y-(-5)=5(x-(-1))

y+5=5(x+1)

y+5=5x+5

y=5x

Step-by-step explanation:

4 0
2 years ago
Find the GCF of the following numbers:
Maurinko [17]

Answer:

2^53^5

Step-by-step explanation:

So if we compare 2^5 \cdot 3^7 to 2^7 \cdot 3^5, we should see the most amount of factors of 2 that they have in common is 5 and the most amount of factors of 3 that they have in common is 5.

If you aren't sure on the number of factors of 2 and 3 they have in common you could write it all out:

2^53^7=(2)(2)(2)(2)(2)\cdot\text{ }(3)(3)(3)(3)(3)(3)(3

2^73^5=(2)(2)(2)(2)(2)(2)(2)\text{ }(3)(3)(3)(3)(3)

So if I were able to circle each pair of 2's they had in common I would circle 5 pairs.

If were able to circle each pair of 3's they had in common I would circle 5 pairs.

6 0
2 years ago
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