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faust18 [17]
2 years ago
12

A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated b

each ball?
Mathematics
1 answer:
alekssr [168]2 years ago
6 0

Answer:

3,052 cubic inches

Step-by-step explanation:

·· A beach ball has a spherical shape

·· Formula to calculate the volume of a sphere is given as:  

In the question, we are given

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball =  

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

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In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=
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See Below.

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Statements:                                                           Reasons:

\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}      Given

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3)\text{ } m \angle QAC = 60                                                     Definition of equilateral.

4)\text{ } m\angle PAB = m\angle QAC                                          Substitution

5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC                       Angle Addition

\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC                       Angle Addition

7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC                       Substitution

\displaystyle 8)\text{ } m\angle PAC=m\angle QAB                                         Substitution

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10)\text{ } AC=AQ                                                        Definition of equilateral

\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ                                            Side-Angle-Side Congruence*

\displaystyle 12)\text{ } PC=BQ                                                        CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

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