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babymother [125]
3 years ago
9

Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup

can Nicholas’s soup pot hold ?
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

2262 in³

Step-by-step explanation:

Given that:

Height, h = 20 inches

Radius, r = 6 inches

Volume of a cylinder is given as :

V = πr²h

V = π * 6² * 20

V = π * 36 * 20

V = 2261.9467 in³

Hence, Nicholas pot can hold about 2262 in³ of soup

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6 0
4 years ago
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A recipe for blueberry smoothies calls for 6 cups of yogurt. How many quarts of yogurt do you need to use if 1 cup of yogurt wei
alexgriva [62]

Answer:

1.6125 quart is required.

Step-by-step explanation:

It is given that a recipe for blueberry smoothies calls for 6 cups of yogurt and 1 cup of yogurt weighs 8.6 ounces.

1 cup = 8.6 ounces

The weight of yogurt for 6 cups is

6\times 8.6=51.6

Total yogurt required for the recipe = 51.6 ounces

We know that

1 quart = 32 ounces

Using this conversion we get

1 ounce = \frac{1}{32} quart

51.6 ounce = \frac{1}{32}\times 51.6=1.6125 quart

Therefore, 1.6125 quart is required.

7 0
3 years ago
Find the slope of the line through each pair of points.<br> (3,-10), (14,-10)
Zina [86]

Answer:

\displaystyle m=0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, -10)

Point (14, -10)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{-10+10}{14-3}
  2. [Fraction] Add/Subtract:                                                                                 \displaystyle m=\frac{0}{11}
  3. [Fraction] Divide:                                                                                            \displaystyle m=0
4 0
3 years ago
Chris is looking at a map with the scale 1 inch: 5 miles. The length of Partridge Creek Road on the map is 4 inches. How long is
Mrac [35]

The scale is 1 inch = 5 miles.

Multiply total inches by 5 miles:


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Answer: 20 miles

6 0
2 years ago
Why does b have to be positive in exponential functions and why can’t it be 1?
faust18 [17]

Answer:

Well, "b" is just a variable. It's not really the function. I'm not quite sure what your asking. It can't be 1 because it can't. Math was founded on these mathematical laws. Consider talking to your teacher about this for further explanation.

Step-by-step explanation:

3 0
3 years ago
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