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JulijaS [17]
3 years ago
9

A cone has a volume of 100

s="latex-formula"> Cubic units and a diameter of 10 units. What is the height of the cone?
Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

12 units

Step-by-step explanation:

The formula for the volume of a cone is given as:

πr²h/3

The volume = 100π cubic units

Diameter = 10 units.

Radius = Diameter/2

= 10 units/2 = 5 units

Hence:

Formula to find the height of a cone

h = 3V/πr²

We substitute

h = 3 × 100π/π × 5²

h = 300π/25π

h = 12 units

The height = 12 units

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Add.
Sidana [21]

Answer:

1\frac{7}{20}

Step-by-step explanation:

1. Convert the mixed number to an improper fraction to match the rest of the problem (this just makes it easier for now, the answer will still be a mixed number)

-1\frac{4}{5} becomes \frac{9}{5}

2. Re-write the new equation. When there is a "+" in front of a set of parentheses the expression doesn't change aside from removing the plus signs.

The new equation becomes

\frac{9}{5} - \frac{1}{4} -\frac{1}{5}

3. Calculate. Just work out the new expression.

The answer is \frac{27}{20}

4. Convert to a simplified mixed decimal.

27 goes into 20 once with seven left over, making the answer 1\frac{7}{20}

8 0
2 years ago
Find The Value Of X When 6-2x = 6x-10x+6. The Value Is
Natasha_Volkova [10]

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

  • Add 2x to both sides

    6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

  • Subtract 6 from both sides

    6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

      0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

  • Divide both sides by -2

       0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

6 0
3 years ago
One pipe fills a barrel in 1 hour while another pipe can fill the same barrel in 2 hours. How many minutes will it take to fill
givi [52]

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

pi = 1 / 1

pi2 = 1 / 2

together = 1/1 + 1/2 ;

3/2 time ; 2/3 hour.

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

Learn more about Problem-solving here: brainly.com/question/13818690

#SPJ4

7 0
1 year ago
PART A: how many miles per gallon does the car get
Nastasia [14]
Part a: 30 gallons (i think)


part b: 220
3 0
3 years ago
A model giraffe has a scale of 1 in : 3 ft. If the real giraffe is 12 ft tall, then how tall is the model giraffe?
sveticcg [70]

Answer:

4

Step-by-step explanation: because 4: 12

7 0
3 years ago
Read 2 more answers
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