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stealth61 [152]
3 years ago
12

The diameter of the base of the cone measures 8 units. The height measures 6 What is the volume of the cone? O 24t cubic units 3

2t cubic units 48T cubic units 64T cubic units
Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

32π cubic units

Step-by-step explanation:

Given: r=4, h=6, v=?

Volume of cone: v=(h*πr²)/3

Substitution: v=(6*π*4²)/3

v=2*π*16

v=32π unit³ or approx. 100.530965 unit³

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Vera_Pavlovna [14]
X goes by 1s

And y goes by 3s
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3 years ago
Read 2 more answers
Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
lord [1]

Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

\text{Days}=5\times 12=60

\text{Minutes}=60\times 45

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

\text{Hours}=\frac{60\times 45}{60}=45

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

6 0
2 years ago
Kathy has $2 less than 3 times the amount of money jason has. Together, they have a total of $34. How much money does Kathy has?
Paul [167]
3j-2=34 Then add two to both sides 3j=36 Then divide three by both sides and get J=12
7 0
3 years ago
Please please please help. thank you.
djverab [1.8K]
Lets get started :)


The First question:
Diameter = 20 ft
Radius = \frac{1}{2} of 20 (diameter) = 20 ft

Area formula of a circle is
A = \pir²
    =\pi(10)²
    =100\pi ft²
    ≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm  divided into 20 sectors area

A = \pir²
   = \pi(12)²
   = 144\pi ft²

Divide into 20 equal sector areas = \frac{144 \pi }{20} = 7.2 \pi

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36\pi , Radius = ?

\frac{angle}{360} = \frac{sector}{ \pi (r)^2}
\frac{90}{360} = \frac{36 \pi }{ \pi r^2}
\pi and \pi cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

\frac{12960}{90} = \frac{90r^2}{90}
144 = r²

Take squareroot 
 \sqrt{144} = x
x = 12 in

Your answer will be the third option




4 0
3 years ago
What is the solution to this system of equations?
Anit [1.1K]

Answer:

the correct answer is b (4,2)

7 0
3 years ago
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