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Soloha48 [4]
3 years ago
8

A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime

ters will it take to fill the bowl
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7}   \times (7 \ cm)^3\\\\V = 718.67 \ cm^3

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

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8y-10=6y-2 

8y-10=6y-2:y  | Solve \ for \ y| 

8y=6y-2+10
 
  |Add \ 10 \ to \ both \ sides| 


8y=6y+8
 
 


8y-6y=8
 
  |Subtract \ 6y \ from \ both \ sides|

2y=8 

y=8/2   |Divide \ both  \ sides \ by \ 2|

y=4 

\star \ Hence \ solved

6 0
3 years ago
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David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much
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Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0
3 years ago
Which is the mode of this data?<br><br> 12, 19, 22, 17, 15, 18, 15, 14, 16
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2 years ago
|h-3|&lt;5 how do I solve using inequalities
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You can find the approximate value of h in this the same way you could with an algebraic expression.

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Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope
ziro4ka [17]

Given:

Expression is

3r^2-2r+4

To prove:

If r is any rational number, then 3r^2-2r+4 is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

3(r\times r)-2r+4

Now,

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3r^2\text{ and }-2r are rational by Property 3.

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So, 3r^2-2r+4 is rational.

Hence proved.

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