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sleet_krkn [62]
3 years ago
14

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo

wl can hold?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

\boxed{ \mathsf{volume \: of \: bowl =  \frac{2}{3}  \times \pi \: r {}^{3} }}

Radius is half of diameter.

<u>Given</u> -

  • Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

\mathsf{volume =  \frac{2}{3} \times \:   3.14 \:  \times  {5}^{3} }

= 3.48888cm³

= 3.48cm³

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Find the 44th percentile, P44, from the following data! pls help
irina [24]

Answer:

P_{44} = 29.9

Step-by-step Explanation:

The 44th percentile, P_{44}, of the given data can be calculated using the kth formula for percentile given as:

i = \frac{k}{100}(n + 1)

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

i = \frac{44}{100}(23 + 1)

i = \frac{44}{100}(24)

i = \frac{1,056}{100}

i = 10.56

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

i_{down} = 10.56 = 10

i_{up} = 10.56 = 11

The data occupying the 10th position on the data set = 28.7

11th = 31.1

P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2}

P_{44} = 29.9

6 0
3 years ago
I need help solving this
weeeeeb [17]

i y vino the answer is 60° i hope so

8 0
3 years ago
Do more than 50 percent of the children in a certain group have brown hair?
babymother [125]

Answer:

What we know is that 30% of the group have brown hair and are girls. It means that in the other 70% we have the boys with brown hair, the other boys and the other girls.

In the case all the girls have brown hair, the 70% remaining would be boys. So 70% of then would have brown hair. (0.7*0.7=0.49 -> 49% of the children would be brown hair) so 49% (boys) and 30% (girls) are more than 50%..

Now, let's suppouse that 90% of the group are girls. It means 10% are boys and 70% of that 10% (=7%) are the boys in the group that have brown hair. Now 7% + 30% of the children have brown hair, wich isn't more than the half.

We have explained with two extreme cases that the information is not enough for making a precise answer

7 0
3 years ago
Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the
Marysya12 [62]
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes 

<span>(2 - 5 , 2 + 2) = (-3,4) </span>

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes 

<span>(-3,-4)</span>
5 0
3 years ago
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazin
andrey2020 [161]
500 total magazines...

Amy sold 1/9......1/9(500) = 500/9 = 55.5
Garret sold 0.145.....0.145(500) = 72.5
Robbie sold 12/100.....0.12(500) = 60
Carlita sold 0.095.....0.095(500) = 47.5

Garret sold the most

or u could have done it this way...
Amy sold 1/9.....1/9 = 11.1%
Garret sold 0.145 = 14.5%
Robbie sold 12/100.....12/100 = 12%
Carlita sold 0.095....0.095 = 9.5%

u will still get the same answer...Garret

3 0
3 years ago
Read 2 more answers
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