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# Need help on some late work on geometry

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1. A plane passes 3 cm from the center of a sphere with radius 5 cm. Find the area of the circle of intersection.

2. A plane passes 2 cm from the center of a sphere with radius 8 cm. Find the area of the circle of intersection.

3. A plane passes 10 cm from the center of a sphere with radius 12 cm. Find the area of the circle of intersection.
4. A scoop of ice cream with radius 4cm is placed on an ice cream cone with radius 3cm and height 16 cm. Is the cone big enough to hold the ice cream if it melts?
5. A spherical fishbowl has diameter 24 cm. To fill the fishbowl three-fourths full, about how many liters of water will you need? Give your answer to the nearest tenth. Use π = 3.14. (1000 cm3 = 1L)
6. A regulation-sized soccer ball is 23 cm in diameter. How much fabric is needed to cover the entire surface? Use π = 3.14 and round to the nearest hundredth.
Apr 16, 2021

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Hope this helps even though it is an ANSWER KEY

Apr 16, 2021
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not really but thankyou the helping and it's about spheres sorry i didn't mention that

jasminerramirez10  Apr 16, 2021
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1)

The  radius  of  the  circle will be  =

sqrt ( radius of sphere^2  - distance of the  plane  from  the  center of sphere^2 )  =

sqrt ( 5^2  - 3^2)  =  sqrt  (16)   = 4

So....the  area  of  tis circle =  pi * 4^2  =  16 pi   unts^2

See if  you can  do  (2)  and (3)  based  on this.....let  me  know  if  you  get  stuck

Apr 16, 2021
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CPhill since your a moderator can you answer a question for me?

Guest Apr 16, 2021
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4.  A scoop of ice cream with radius 4cm is placed on an ice cream cone with radius 3cm and height 16 cm. Is the cone big enough to hold the ice cream if it melts?

Volume of  scoop =  (4/3) pi  *( 4)^3  =    265/3  pi  cm^3

Volume of cone  =  (1/3)pi (3)^2 * 16  =  144 / 3  pi  cm^3

The  cone will not  hold  the scoop

Apr 16, 2021
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5. A spherical fishbowl has diameter 24 cm. To fill the fishbowl three-fourths full, about how many liters of water will you need? Give your answer to the nearest tenth. Use π = 3.14. (1000 cm3 = 1L)

(3/4) *(4/3) pi * (24/2)^3   =   pi * 12^3  =   3.14 * 1728  =  5425.92  cm^3

5425.92 / 1000  ≈     5.4  L

Apr 16, 2021
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6. A regulation-sized soccer ball is 23 cm in diameter. How much fabric is needed to cover the entire surface? Use π = 3.14 and round to the nearest hundredth.

Surface  area of sphere  =

4 pi (d/2)^2   =

4 pi  ( 23/2)^2  =

4 (3.14) ( 11.5)^2   =   1661.06  cm^2

Apr 16, 2021
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thankyou it all helped

jasminerramirez10  Apr 17, 2021