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Katena32 [7]
3 years ago
13

Approximate the change in the volume of a right circular cylinder of fixed radius requals21 cm when its height decreases from he

quals12 cm to hequals11.9 cm ​(upper v left parenthesis h right parenthesis equals pi r squared h​).
Mathematics
1 answer:
Tasya [4]3 years ago
4 0
The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
 For h = 12cm:
 V1 = pi * ((21) ^ 2) * (12)
 V1 = 16625.30832 cm ^ 3
 For h = 11.9cm:
 V2 = pi * ((21) ^ 2) * (11.9)
 V2 = 16486.76409 cm ^ 3
 The change in volume is given by:
 V1-V2 = 16625.30832-16486.76409
 V1-V2 = 138.54423 cm ^ 3
 Answer:
 the change in the volume is:
 V1-V2 = 138.54423 cm ^ 3
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Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

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q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

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Now, let us solve our system of inequalities.

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q+3-3\leq 15-3

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From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

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10.2\leq q\leq 12

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Oksanka [162]

The product has decreased by 80 %

<em><u>Solution:</u></em>

The product of the original numbers: xy

One number is decreased by 75 %

Let x be the number decreased by 75 %

new number = x - 75 % of x

new\ number = x - 75 \% \times x\\\\new\ number = x(1-75 \%)\\\\new\ number = x(1-\frac{75}{100}) = x(1-0.75) = 0.25x

Another number is decreased by 20 %

Let y be the number decreased by 20 %

new number = y - 20 % of y

new\ number = y - 20 \% y\\\\new\ number = y(1-20 \%)\\\\new\ number = y(1-\frac{20}{100}) = y(1-0.2) = 0.8y

<em><u>Now the product is given as:</u></em>

product = 0.25x \times 0.8y = 0.2xy

<em><u>Now we have to find the percent decreased</u></em>

Subtract new product and original product and then divide by original product . Multiply the result by 100 to get percentage

percent\ decrease = \frac{0.2xy - xy}{xy} \times 100\\\\percent\ decrease = \frac{-0.8xy}{xy} \times 100 = -0.8 \times 100 = -80

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