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Novosadov [1.4K]
3 years ago
10

A company is designing a new cylindrical water bottle. The volume of the bottle will be 147 cm ^ 3. The height of tbe water bott

le is 7.5 cm. What is the radius of the bottle? Use 3.14 for pi
Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

2.496cm

Step-by-step explanation:

Volume of the cylindrical water bottle. Can be calculated with the equation below

V=πr^2h

Where

h= height

r= radius

Then substitute the values into the equation we have

147= 3.14 × r^2 × 7.5

147= 23.565 r^2

Make r^2 subject of the formula

r^2= 147/ 23.565

r^2= 6.23

r= √6.23

r= 2.496cm

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Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .
maria [59]
Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2
8 0
3 years ago
The following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).
ololo11 [35]

Answer:

step1 - distributive property

step2 - associative property

step3 - cumulative property

step4 -  associative property

Step-by-step explanation:

3 0
3 years ago
How to do number 2 and 5 !!! Please someone help
Brums [2.3K]
2a) there is a right angle on T so 180-90-37=53
2b) do pythogrean theorem 22sq+ 12sq= 628 sq rt of 628 is 25.06 which is 25
5a) 5*8=10x so X=4
5b) 47*2=94 -57 = 37
4 0
3 years ago
Can somebody help me with this?​
Ghella [55]

Answer:

x=11

Step-by-step explanation:

Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:

46+4x=90

4x=44

x=11

Check:

46+4x=90

46+4(11)=90

46+44=90

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6 0
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a phone company offers two monthly plans. plan A costs 13 plus an additional 0.16 for each minute of calls. Plan B costs 24 plus
vladimir1956 [14]

Answer:

Let x represent number of calling minutes

Step-by-step explanation:

17 + .11x = 22 + .07x

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5 0
3 years ago
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