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inessss [21]
2 years ago
8

A manufator makes two different sizes of spherical ball bEARINGS for use in motors. If the radius of the larger ball bearing is

twice the radius of the smaller one, then the volume of the larger ball bearing is how many times the volume of the smaller one? EXPLAIN!
A) 2
B) 4
C) 6
D) 8
Mathematics
2 answers:
Ede4ka [16]2 years ago
8 0

Answer:

D) 8

Step-by-step explanation:

V Large = 4/3 Pi (2r) Cube

V Small = 4/3 Pi (r) Cube

8 r Cube/ r Cube = 8

kotegsom [21]2 years ago
6 0

Answer:

Option D is the answer.

Step-by-step explanation:

Volume of sphere is given as:

\frac{4}{3}\pi r^{3}

Case 1:

Lets say the radius is 3 cm.

Volume = \frac{4}{3}\times3.14\times3\times3\times3

= 113.04 cubic cm

Case 2:

Lets say the radius is twice 3 cm that is 6 cm.

Volume = \frac{4}{3}\times3.14\times6\times6\times6

= 904.32 cubic cm.

The volume of the larger ball is \frac{904.32}{113.04} = 8 times the smaller one.

So, the answer is option D : 8 times.

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olga_2 [115]

Answer:

x-intercept is -1; y-intercept is 0.5.

Step-by-step explanation:

The x-intercept is relatively easy to read off.  It's the x-value where the graph crosses the x-axis, and here is (-1,0).

The y-intercept is best estimated as (0,+0.5).

The correct answer is the 3rd one on the list.

5 0
3 years ago
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Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met a
Archy [21]
Answer: P = 8/15

Explanation:

There are 30 contact in total

And there are 16 contacts are people he met at school

P = 16/30 = 8/15
4 0
3 years ago
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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Veronika [31]

The expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Given an integral \int\limits^5_b {1} \, x/(2+x^{3}) dx.

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty}∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\int\limits^5_1 {x/(2+x^{3}) } \, dx=f(x)=x/2+x^{3}

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)=[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}

\lim_{n \to \infty}∑f(a+iΔx)Δx=

\lim_{n \to \infty}∑n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n

=4\lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3}

Hence the expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0
1 year ago
The surface area of a typical classroom floor is closest to______.
avanturin [10]
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lora16 [44]

Answer:

x is given as -1.5. Substitute to confirm

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