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Dovator [93]
3 years ago
6

A conical cup is made from a circular piece of paper with radius 4 cm by cutting out a sector and joining the edges as shown bel

ow. Suppose θ = 3π/2.Find the volume V of the cup.

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

  V = 3π√7 cm³ ≈ 24.94 cm³

Step-by-step explanation:

The radius of the finished cone can be found from the circumference of the finished cone, which is 3/4 of the circumference of the original paper circle.

  Ccone = (3/4)Ccircle = (3/4)(2π(4 cm)) = 6π cm

This is related to the cone radius (x) by ...

  Ccone = 2πx = 6π cm

  x = 3 cm . . . . . . . . . 3/4 of the circle's radius

The height of the cone is given by the Pythagorean theorem:

  (4 cm)² = h² + x²

  h² = (4 cm)² -(3 cm)² = (16 -9) cm²

  h = √7 cm

Now, we can use the formula for the volume of a cone:

  V = (1/3)πr²h

  = (1/3)π(3 cm)²(√7 cm)

  V = 3π√7 cm³ ≈ 24.94 cm³

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masya89 [10]

Answer:

Explanation:

Use the Pythagorean theorem (

a

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Lets label the right triangle such that:

a

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12

b

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c

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Thus,

12

2

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=

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2

144

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400

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√

400

=

x

20

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So our missing side,

c

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20

We can now say that the sides of our triangle are

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I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

3 0
2 years ago
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25.7 is what percent of 141?
Lady_Fox [76]

Answer:

about 18.2%

Step-by-step explanation:

All you have to do is divide the result of the percent, so 25.7, by the total, 141.

So 25.7÷141=0.18226950354

We round it to 0.182 and multiply it by 100 to know the percent which is 18.2

7 0
3 years ago
a 5 digit number had the digits 0,5,7,9, and 0. to the nearest thousand, it rounds to 80000 what is the number? explain.
Murljashka [212]
The Number is 79500, since the nearest thousand for 79500 is 80000
7 0
2 years ago
Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).
zvonat [6]

Answer:

4.32

Step-by-step explanation:

The steps required are:

         4.322

1.476 )6.380

          5.904

          ____

          0.476

              0.4763

              0.4428

              _____

              0.0335

                  0.03358

                  0.02952

                  _____

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                     0.004060

                     0.002952

                     _____

                     0.0011080

Therefore, the answer is 4.32.

8 0
2 years ago
Evaluate 7w-14 for w=9.
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That's the answer and how you do it.

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