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Ulleksa [173]
3 years ago
15

What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

<h2>Volume = 288695.6 in³</h2>

Step-by-step explanation:

Volume of a sphere is given by

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

Where r is the radius of the sphere

From the question

radius = 41 in

Substitute the value into the above formula

We have

V =  \frac{4}{3}  \times  {41}^{3} \pi

=  \frac{275684}{3}    \pi

= 288695.6097

We have the final answer as

<h3>Volume = 288695.6 in³ to the nearest tenth</h3>

Hope this helps you

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Can y’all help me on Thai one thank you
vichka [17]

Karmin will make $18.4 for working an hour after the increase.

Step-by-step explanation:

Step 1:

First, we need to determine how much Karmin made an hour.

Karmin's hourly rate = \frac{480}{30} = 16.

So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.

She will get a 15% increase in her hourly rate this month.

Step 2:

We need to determine how much 15% of $16 is.

15% of $16 = \frac{15}{100} (16) = 0.15 (16)= 2.4.

So her 15% increase amounts to $2.4.

So the hourly rate for this month 16 + 2.4 = 18.4.

So Karmin will make $18.4 for working 1 hour.

5 0
3 years ago
A professor records the difference between the marks scored by the students in the class test last week and those scored in the
dezoksy [38]

Answer: (10.82\ , 13.18)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 35  , large sample (n>30)

Mean difference : \overline{x}=12

Standard deviation : \sigma=3

Significance level : \alpha=- 1-0.999=0.001

Critical value : z_{\alpha/2}=z_{0.0005}=3.4807567

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)

Hence, the  99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = (10.82\ , 13.18)

4 0
3 years ago
What is 3=7(4 - 2u)-6u
alisha [4.7K]

Answer:

u = 5/4

Step-by-step explanation:

to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.

solution

3=7(4 - 2u)-6u

3 = 28- 14u - 6u

collect the like terms

3 + 14u + 6u = 28

20u = 28 - 3

20u = 25

divide both sides by the coefficient of u which is 20

20u/20 = 25/20

u = 5/4

5 0
3 years ago
Read 2 more answers
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lianna [129]

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

6 0
3 years ago
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True [87]

Answer:

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Step-by-step explanation:

825 million is

825,000,000

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5 0
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