06.04.2020

A gold sphere with a diameter of 120 mm is melted and then cast into a right rectangular prism with a base that is 95 mm long and 85 mm wide. To the nearest millimeter, the height of the right rectangular prism is:

. 49

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17.01.2022, solved by verified expert
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Diameter of sphere (d) = 120mm

Radius of sphere (r) = d/2 = 120/2 = 60mm

Volume of sphere = (4/3)πr^3 = (4/3)π× 60^3

= 904778.6842

Length of the base of Rectangular prism (l) = 95mm

Width of the base of Rectangular prism (w) = 85mm

Let x is the height of  Rectangular prism.

Because sphere is melted and then casted into a right rectangular prism. So,

Volume of sphere = Volume of Rectangular prism 

(4/3)πr^3 = lwh 

904778.6842 = 95×85×h

8075h = 904778.6842

h = 904778.6842/8075

h = 112.046mm

Height of Rectangular prism = 112.046mm

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Faq

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Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

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y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

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The answer is in the image 

The answer is in the image 
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Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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Here,

distance=15m

time=1sec

speed=15/1=15m/sec

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time=15min=15*60sec=900sec

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=13500/1000 km=13.5Km

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Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

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