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Lorico [155]
3 years ago
14

James has an ice cube tray that makes ice in the shape of spheres rather than cubes each sphere of ice has a radius of 2 cm one

tray makes 6 spheres what is the total volume of ice the tray can make at one time
Mathematics
2 answers:
Alina [70]3 years ago
6 0

Answer:

201.06 cubic centimeters.

Step-by-step explanation:

Hello

I think   I can help you with this

the volume of a sphere is given by:

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

where r is the radius of the sphere

to solve this question you just have to put the values into the formula and multiply by the number of spheres in the  ice cube tray

Let

the number of spheres in the  ice cube tray=6

radius =  2 cm

the total volume is

V=6*(\frac{4*\pi*r^{3} }{3})\\V=6*(\frac{4*\pi*(2cm)^{3} }{3})\\v=\frac{192\pi }{3} \\v=201.06\ cubic\ centimeters

Have a good day.

kirza4 [7]3 years ago
5 0

Answer:

64pi

Step-by-step explanation:

So the volume of a sphere is 4/3pi r^3. So the total area would be 6*4/3*8*pi. So that’s 64pi.

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3 years ago
6. Peggy Carter is selling tickets to see Captain America. On the first night she sold 12 adult tickets and 11 student tickets f
Nataliya [291]

Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

  • On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars

⇒ 12a + 11s = 301

Given:

  • On the second night she made $134 selling 6 adult tickets and 4 student tickets

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2:  12a + 8s = 268

  12a + 11s = 301

- (12a + 8s = 268)

--------------------------

            3s = 33

     

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

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Answer:

SN

Step-by-step explanation:

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