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MAXImum [283]
4 years ago
11

How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:

Vol cylinder
Mathematics
1 answer:
borishaifa [10]4 years ago
3 0

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

V_{s}=\frac{4}{3} \pi r^{3}

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

V_{c}=\pi r^{2}h

but h = 2r

Hence we have

V_{c}= 2\pi r^{3}h

We can divide the two volumes to get a constant that links them together

\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
SSSSSSSSSSSSSSSSSSSSSSSSSSss Which of the following equations is graphed as a vertical line?
Marysya12 [62]
Vertical line is x=0
8 0
3 years ago
Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumfere
neonofarm [45]

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

<h3>What is a circle? </h3>

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: brainly.com/question/24375372

4 0
2 years ago
Please I really need help
Serggg [28]

Answer:

is the answer 3 times?

I wanna confirm lol

8 0
3 years ago
WILL GIVE BRAINLIEST!!!
LUCKY_DIMON [66]

Answer:

A = 119 units²

Step-by-step explanation:

side of square is (12√2)sin45 = 12

The portion of the diagonal that is NOT octagon is

12√2 - 12

There are four corner triangles. The sum of their areas is

(12√2 - 12)²

Area of the octagon is area of the square minus four corner triangle areas.

A = 12² - (12√2 - 12)²

A = 119.2935...

4 0
3 years ago
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