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riadik2000 [5.3K]
3 years ago
14

Trayvon has a mug shaped like a hemisphere. Its diameter is 18 cm. To the nearest hundredth, what is the capacity of her mug?

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

The capacity of the mug is 1,527.43 cm^3

Step-by-step explanation:

In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.

A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.

Mathematically, the volume of a hemisphere V = 2/3 * π * r^3

Since D = 18cm , r = D/2 = 18cm/2 = 9 cm

The volume V is thus = 2/3 * 22/7 * 9^3

V = 1,527.428 cm^ 3

To the nearest hundredth,

V = 1,527.43 cm^3

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kodGreya [7K]

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Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle       =  πr² where π is a constants . It has value of         22/7 or 3.142

Now area of the bigger circle                = 3.142 x 3²

                                                                  = 3.142 x 9

                                                                  = 28.278 cm²                                       Now are of the two smaller triangle        = 3.142 x 1² x 2

                                                                   = 6.284 cm².

Therefore are of the shaded region        = 28.278 - 6.284

                                                                   = 21.994 cm²

7 0
3 years ago
The numbers Of students in the four sixth-grade classes at Northside School are 26,19,,34,and 21.Use the properties to find the
Dafna11 [192]
Basically there are 3 addition properties and they are associative property, identity property, and commutative property.

Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26

Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100

Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)

I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.
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Find the slope. A. y= -1/2x - 19/2.
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The equation of the line follows the following general structure:

y=mx+b

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Find the corresponding values in the given formula, this way:

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Step-by-step explanation:

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Does anyone understand this if so can someone tell me how I do this and explain how to do it thank you!
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Step-by-step explanation:

Step 1; Whenever you make a payment, make a cash withdrawal, a payment through debit card or an automatic payment the money in your account decreases as you're giving your money to someone else. So the amount of money spent or taken is reduced from the balance in your account.

Whenever you get your paycheck or make a deposit the money you have in your account increases. So the amount of money put in or the money you are paid is added with the balance you have in your account.

Step 2; Total deposits mean all the money that was added into your account. In this month's summary, the individual didn't deposit any money into their account but did get paid twice. They got paid their paycheck twice. The amount paid was $645.30. So total amount deposited was 2 * $645.30= $1290.60.

Step 3; Total withdrawals were all the payments you made to someone else. In the month of January payments were; $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill and $148.46 for the phone bill. All these amounts were deducted from the account balance.

Step 4; So this is how to calculate the final balance.

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So the balance was = $398.26 - $158.25 - $168.36 - $157.42 + $645.30 - $148.46 + $645.30 = $1,056.37

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3 years ago
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