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ivann1987 [24]
3 years ago
12

What is the circumference of area=64pi mi^2

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

  16pi mi

Step-by-step explanation:

The smallest circumference for a given area is that of a circle with that area. The area is given by ...

  A = πr²

so we can find r as ...

  64π = πr²

  r = √64 = 8 . . . . miles

The circumference of this circle is ...

  C = 2πr = 2π·(8 mi) = 16π mi

The circumference of the area is at least 16π miles.

_____

If the shape is not constrained to a circle, the circumference can be anything you like.

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A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
5 0
3 years ago
Read 2 more answers
Round 14.81 to the nearest tenth
kiruha [24]

Answer: 14.8

Step-by-step explanation: If the number in the hundredths place is less than 5, you must round down. On the contrary, if that number is 5 or greater, you must round up. This applies for rounding to any place not just the tenths place. For example, if you were to round it to the ones place, the answer would be 15.

3 0
3 years ago
Read 2 more answers
Part 1
pickupchik [31]

Answer:

Part 1

If the actual park is 250 yards LONG, I think it means that its LENGTH is also 250 yards

Part 2

It's a proportion:

5=x

7=250

5*250:7=178.6 yards

The area is 178.6 yards wide and 250 yards long

Step-by-step explanation:

7 0
3 years ago
HELP ILL GIVE U THE BRAINLIEST
adoni [48]

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × 4^{0} [ note 4^{0} = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

8 0
3 years ago
Read 2 more answers
I can’t figure out this answer I’ve gotten so many and it seems non of them work
Mandarinka [93]

The quotient is 0.20125.

Solution:

Divide .03220 by .16

This can be written as

$\frac{\cdot 03220}{\cdot 16}

To divide this, we first remove the decimal term.

To remove decimal in denominator multiply and divide by 100.

$\frac{\cdot 03220}{\cdot 16}\times \frac{100}{100}=\frac{3.22}{16}

Now, divide 3.22 by 16.

The quotient is 0.20125.

The image of the long division is attached below.

6 0
3 years ago
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