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

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

- A plane passes 10 cm from the center of a sphere with radius 12 cm. Find the area of the circle of intersection.
- 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?
- 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 cm
^{3}= 1L) - 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.

jasminerramirez10 Apr 16, 2021

#1**0 **

https://www.cbsd.org/cms/lib/PA01916442/Centricity/Domain/2834/Answer%20Key%20-%20Unit%2010%20Review%20Packet.pdf

Hope this helps even though it is an **ANSWER KEY**

Guest Apr 16, 2021

#7**0 **

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

jasminerramirez10
Apr 16, 2021

#2**+2 **

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

CPhill Apr 16, 2021

#4**+2 **

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

CPhill Apr 16, 2021

#5**+3 **

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

CPhill Apr 16, 2021