Question

A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 12 inches, as shown below. Use Twenty two over for pi.

A sphere with diameter 12 inches is drawn.

Which of the following can be used to calculate the volume of water inside the fish bowl? (5 points)
Select one:
a. 1 over 24 over 322 over 7(122)(6)
b. 1 over 24 over 322 over 7(123)
c. 1 over 24 over 322 over 7(62)(12)
d. 1 over 24 over 322 over 7(63)

Answer 1

The volume of a sphere = (4/3) pi r^3
here we have a half sphere of water
and radius r = 1/2 * 12 = 6

So the volume of water in the bowl =
(1/2)(4/3) * (22/7) * 6^3

this should simplify to one of the 4 options.

Answer 2

Ok, let me try to do it

Answer 3

I know how to get the numerical answer, but it's asking for something different. Could you explain a little further please? :)

Answer 4

The options all look a bit weird!!

Answer 5

Oh I'm so sorry! Let me type them out for you :) Hold on

Answer 6

are you sure theyt are correct?

Answer 7

No, I'm not honestly. This is for an online school.

Answer 8

\[a. 1/2 (4/3)(22/7)(12^2)(6) \]

Answer 9

\[b. 1/2(4/3)(22/7)(12^3)\]

Answer 10

\[c. 1/2(4/3)(22/7)(6^2)(12)\]

Answer 11

\[d. 1/2 (4/3)(22/7)(6^3)\]

Answer 12

OK so compare them with mine and you'll see which is correct
(The * means multiply ) . I didn't have to insert them.

Answer 13

also 6^3 means 6 to the power 3

Answer 14

Oh wow. I feel so stupid. I was over complicating it I think

Answer 15

Thank you so much! Could you help me with a few more?

Answer 16

Sorry got to go right now..

Answer 17

Ok, well thank you anyway! :)