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myrzilka [38]
3 years ago
15

A buoy used to mark the swimming area at a local beach is in the shape of a sphere that has a diameter of 1.8 meters.About what

is the volume of air in the buoy?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

The volume of air in buoy is 3.05 cubic meters.

Step-by-step explanation:

We are given the following in the question:

Diameter =  1.8 meters

Radius, r =

r = \dfrac{d}{2} = \dfrac{1.8}{2} = 0.9

The radius of buoy is 0.9 meters.

Volume of air in buoy:

Volume of sphere =

V = \dfrac{4}{3}\pi r^3\\\\V = \dfrac{4}{3}\times 3.14\times (0.9)^3\\\\V=3.05208\\V \approx 3.05

Thus, the volume of air in buoy is 3.05 cubic meters.

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Therefore, the proportionality constant is given by:
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Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c O
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Answer:

  1. addition property of equality
  2. integers are closed to addition
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  4. multiplication property of equality
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Step-by-step explanation:

<u>Given</u>:

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  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

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  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

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