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3 years ago

What is the ratio of the smaller cylinder's volume (760.27) to the larger cylinder's volume (3041.06)

Mathematics

1 answer:

Volgvan3 years ago

8 0

Answer:

Area and Volume of Similar Solids

Two solids are similar if and only if they are the same type of solid and their corresponding linear measures (radii, heights, base lengths, etc.) are proportional.

Surface Area

Recall that when two shapes are similar, the ratio of the area is the square of the scale factor.

For example, the two rectangles above are similar because their sides are in a ratio of 5:8. The area of the larger rectangle is 8(16)=128 units2 and the area of the smaller rectangle is 5(10)=50 units2. If we compare the areas in a ratio, it is 50:128 = 25:64 = 52:82.

Surface Area Ratio: If two solids are similar with a scale factor of ab, then the surface areas are in a ratio of (ab)2.

Step-by-step explanation:

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amm1812

let's convert firstly the mixed fractions to improper fractions and then add up.

$\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\\\ \stackrel{mixed}{2\frac{7}{8}}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{19}{8}+\cfrac{5}{4}+\cfrac{23}{8}\implies \stackrel{\textit{using an LCD of 8}}{\implies \cfrac{(1)19+(2)5+(1)23}{8}}\implies \cfrac{19+10+23}{8} \\\\\\ \cfrac{52}{8}\implies \cfrac{13}{2}\implies 6\frac{1}{2}$

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3 years ago

Please help and answer has an exponent

Len [333]

2^6 (or two to the sixth power) is equal to 4^3, which equals out to 64.

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2 years ago

In how many months will the total cost of both options be the same? What will that cost be?

gregori [183]

If you make yourself a monthly expense chart:
   Months
<u> 1 2    3 4    5    6 7    8    9    10</u>
Opt 1 -80    -30    -30    -30    -30 -30    -30    -30 -30    -30
Opt 2 -40 -40    -40    -40 -40    -40    -40    -40    -40 -40

By month 5 the total amount spent for Opt 1 is $200 and Opt 2 is $200

For part two add up the values for each all the way up to month 9.
Option 1: 80 + 30(8) = 80 + 240 = 320 spent
Option 2: 40(9) = 360 spent

So option 1 is cheaper by month 9

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3 years ago

Akira and tori Chang received a total of $48,000 from an estate. They decided to put $9,600 in a trust and divide the remainder.

Dahasolnce [82]

Answer:

$24,000

Step-by-step explanation:

After putting in trust they have left:

48000 - 9600 = $38,400

If Tori gets 3/8, Akira will get the remaining (1 - 3/8 = 5/8). So Akira will get:

$\frac{5}{8}*38,400=24,000$

Hence akira will get $24,000

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4 years ago

Mr.bryce spends 712$ each month on rent.Mr.brewter spends 845$ each month on rent.How much more money does Mr. Brewster spend on

Talja [164]

Easy

Subtract.

$845 - $712 = 133

6 0

3 years ago

What is the ratio of the smaller cylinder's volume (760.27) to the larger cylinder's volume (3041.06)​

What is the ratio of the smaller cylinder's volume (760.27) to the larger cylinder's volume (3041.06)