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Ugo [173]
3 years ago
10

There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = \frac{9}{\pi }

r² = 2.865

r = 1.692

r = 1.69 units

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Hiiii!
fenix001 [56]

Answer:

100,000,000

Step-by-step explanation:

You can just add up the zeros, if that makes sense.

5 0
3 years ago
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Zina goes shopping. She buys in the same store two scarves and three T-shirts for
Umnica [9.8K]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

6 0
3 years ago
Jamaal bounces on a trampoline. His height, as a function of time, is modeled by y = -6x2 + 20x +4
kykrilka [37]

Answer: The function is no linear

Step-by-step explanation:

5 0
3 years ago
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What is the HIGHEST common factor<br> of the set of numbers (54, 72, 90}?
suter [353]

Answer:

18

Step-by-step explanation:

54/18=3

72/18=4

90/18=5

6 0
3 years ago
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The ordered pair below represents a point of the line3y+4x=5. enter the missing y- Coordinate for this point in the box
Igoryamba

9514 1404 393

Answer:

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Step-by-step explanation:

Substitute the given information into the equation and solve for y.

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  3y -1 = 5 . . . . . . simplify

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The point is (-1/4, 2).

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3 years ago
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