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Vera_Pavlovna [14]
2 years ago
11

100 pyramid shaped chocolate candies with a square base of 12 mm size and height of 15 mm are melted in a cylinder coil pot if t

he part has a radius of 75 mm what is the height of the melted candies in the pot.
Mathematics
1 answer:
blagie [28]2 years ago
7 0

Answer: the height of the melted candies in the pot is 12.2 mm

Step-by-step explanation:

The formula for determining the volume of a square base pyramid is expressed as

Volume = area of base × height

Area of the square base = 12² = 144 mm²

Volume of each pyramid = 15 × 144 = 2160 mm³

The volume of 100 pyramid shaped chocolate candies is

2160 × 100 = 216000 mm³

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Since the pyramids was melted in the cylindrical pot whose radius is 75 mm, it means that

216000 = 3.14 × 75² × h

17662.5h = 216000

h = 216000/17662.5

h = 12.2 mm

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Answer:

22\frac{7}{10}\ l  or 22.7\ l

Step-by-step explanation:

<u><em>The correct question is</em></u>

A cow gave 8 1\2 liters of milk in the morning, 3\5 liters less than this at the noon milking, and 6 3/10 liters in the evening. How many liters of milk did the cow give during the entire day?

we know that

The total liters of milk given by the cow during the entire day is equal to the amount in the morning plus the amount at the noon plus the amount in the evening.

Let

x -----> liters of milk given by the cow in the morning

y ----> liters of milk given by the cow at the noon

z -----> liters of milk given by the cow in the evening

T ----> total liters of milk given by the cow during the entire day

T=x+y+z

we have

x=8\frac{1}{2}\ l=\frac{8*2+1}{2}=\frac{17}{2}=\frac{85}{10}\ l

y=\frac{17}{2}-\frac{3}{5}=\frac{85-6}{10}=\frac{79}{10}\ l

z=6\frac{3}{10}\ l=\frac{6*10+3}{10}=\frac{63}{10}\ l

T=\frac{85}{10}+\frac{79}{10}+\frac{63}{10}

T=\frac{227}{10}\ l

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Convert to mixed number

22.7\ l=22+0.7=22+\frac{7}{10}=22\frac{7}{10}\ l

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McKenna pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class.
True [87]

$16 per month can be changed to 16m where m represents months.

The $2 per Pilates class can be 2p where p represents Pilates classes.

An equation of y = 16m + 2p can be set up, where y represents how much McKenna is charged total for gym membership ($52)

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Step-by-step explanation:

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<u>Answer</u>:

Therefore has one solution.

<u>explanation</u>:

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6x + y = -7

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Make y the subject:

6x + y = -7

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