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Rudiy27
3 years ago
5

Given V = 1/3pi(r^2)h, solve for r.

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Volume = (PI * r^2 * h) / 3

r^2 = (3 * Volume) / (PI * h)

r = Square Root (3 * Volume) / (PI * h)


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The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide,
zvonat [6]

Answer:

  • <u>92 cm²</u>

Explanation:

The area of the <em>octagon</em> may be calculated as the difference of the area of the original square and the area of the four corners cut off.

1) <u>Area of the square</u>.

The original square's side length is the same wide of the formed octagon: 10 cm.

So, the area of such square is: (10 cm)² = 100 cm².

2) <u>Area of the four corners cut off</u>.

Since, the corners were cut off two centimeters from each corner, the form of each piece is an isosceles right triangle with legs of 2 cm.

The area of each right triangle is half the product of the legs (because one leg is the base and the other leg is the height of the triangle).

Then, area of one right triangle: (1/2) × 2cm × 2cm = 2 cm².

Since, they are four pieces, the total cut off area is: 4 × 2 cm² = 8 cm².

3) <u>Area of the octagon</u>:

  • Area of the square - area of the cut off triangles = 100 cm² - 8cm² = 92 cm².

And that is the answer: 92 cm².

4 0
3 years ago
A frog hops 1 1/2 inches and then another 1 1/4 inches. How far has it hopped altogether?
LenKa [72]

Answer:

Add

11 over 2

11  2  + 11 over 4   11  4 = 33 over 4  33  4

Step 1 of 2: Add. Show the work

Step 2 of 2: Simplify.

Simplify

33 over 4  33  4   = 8 and 1 over 48

1

4

Step-by-step explanation:

6 0
4 years ago
One positive integer is 1 less than another the product of two integers is 72 what are the integers
Fynjy0 [20]
The positive integers would be 8 and 9

because 8*9= 72
3 0
3 years ago
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Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Find the monthly
neonofarm [45]

Answer:

25thousand six hundred

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3 years ago
Gina is making bags of trail mix for hiking club. She will use 20 ounces of walnuts, 11.2 ounces of almonds, and 28.3 ounces of
ser-zykov [4K]

Answer:

Step-by-step explanation:

20 oz walnuts = 20/25 = 0.8 ounces of walnuts per bag. / bag

11.2 oz of almonds = 11.2 / 25 = 0.448 ounces of almonds / bag

28.3 oz of cashews = 28.3 / 25 = 1.132 oz of cashews / bag

6 0
2 years ago
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