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telo118 [61]
2 years ago
7

Pls help will give brainliest!

Mathematics
1 answer:
kramer2 years ago
5 0

Answer:

625 cubic inches

Step-by-step explanation:

Split it into two smaller figures, so there will be one 5 x 5 x 5 figure and one 20 x 5 x 5.

Now, all you have to do is find the volume of each:

5 * 5 * 5 = 125

20 * 5 * 5= 500

Add them:

500 + 125 = 625 cubic inches

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16:200

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3 years ago
Consider the region bounded by 4y=x^2 and 2y=x.
gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

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Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

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= -⅓

Area = ⅓

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Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

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(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

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x² = 4y²

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Integrate: 4y² - 4y

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(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

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