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soldier1979 [14.2K]
1 year ago
14

A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.

5 ​cm, what percentage of the can is not occupied by tennis​ balls?
Mathematics
2 answers:
Talja [164]1 year ago
8 0

Answer:

Putangina okay

Step-by-step explanation:

#CarryOnLearning

Volgvan1 year ago
3 0

Answer:

  about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

  V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

  V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

  occupied space = (sphere volume)/(cylinder volume)

  occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

  unoccupied fraction = 1 -2/3 = 1/3

  unoccupied fraction ≈ 33.3%

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kykrilka [37]

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

6 0
3 years ago
The net below can be folded to form a square pyramid.
topjm [15]

Surface area of the square pyramid = 217.8 in²

Solution:

Side length of the square = 9 in

Area of the square = side × side

                                = 9 in × 9 in

                                = 81 in²

Area of the square = 81 in²

Perimeter of the base = 4 × 9 in = 36 in

Slant height of the triangle = 7.6 in

Surface area of the square pyramid

                            $=\frac{1}{2} \times \text{Perimeter} \times \text{Slant height} + \text{Base area}

                            $=\frac{1}{2}\times  36\times 7.6+81

                            $=136.8+81

                            = 217.8 in²

Surface area of the square pyramid = 217.8 in²

6 0
3 years ago
Read 2 more answers
The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct
IgorC [24]
A= l x w
5x * 2x^2 - 4x + 13
10x^3 - 20x^2 + 65x
3 0
3 years ago
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Find the modulus of the complex number 6-2i
Papessa [141]

Answer:

The modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

Step-by-step explanation:

Given the number

6-2i

We know that

z = x + iy

where x and y are real and \sqrt{-1}=i

The modulus or absolute value of z is:

|z|\:=\sqrt{x^2+y^2}

Therefore, the modulus of 6-2i  will be:

z=6-2i

z=6+(-2)i

|z|\:=\sqrt{x^2+y^2}

|z|\:=\sqrt{6^2+\left(-2\right)^2}

    =\sqrt{6^2+2^2}

    =\sqrt{36+4}

    =\sqrt{40}

    =\sqrt{2^2}\sqrt{2\cdot \:5}

    =2\sqrt{2\cdot \:5}

   =2\sqrt{10}

Therefore, the modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

3 0
2 years ago
Train A and train B leave the station at 2 pm. The graph below shows the distance covered by the two trains. Compare the two spe
jarptica [38.1K]

Both trains travel for 7 time units.

Train A travels 385 distance units, so its speed is

\dfrac{385}{7}=55

Train B travels 577.5 distance units, so its speed is

\dfrac{577.5}{7}=82.5

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.

Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.

7 0
2 years ago
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