The only part of this problem that's the least bit tricky is knowing
the formula for the volume of a sphere. Here is is:
Volume of a sphere = (4/3) (pi) (radius of the sphere)³ .
Everything else is just arithmetic.
pi . . . use 3.14
Radius . . . 2-1/8 inches. It'll be easier if we write that as 2.125 inches.
Now, just put the numbers into their places in the formula:
Volume = (4/3) (pi) (radius of the sphere)³
= (4/3) (3.14) (2.125)³
and run that through your calculator.
When I run it through mine, I get <u>40.174 in³ .</u>
None of the choices is anywhere near that number.
I'm worried, and I don't understand that.
Maybe we should look back at the question, and notice that
it says "estimate" ... something you do quickly in your head.
OK. We know the real formula ... Volume = (4/3) (pi) (radius)³ .
How could we estimate this quickly in our head?
pi . . . instead of 3.14, just use 3
radius . . . instead of 2-1/8, just use 2 . Then (radius)³ = 2 x 2 x 2 = 8
Then (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24 = <em>32 .</em>
Well now, will you look at that ! I guess that's where the 32 came from
on the list of choices.
Answer:
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, 4^3=(2^2)^3
2^3*(2^2)^3=^
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
I think the answer should be Mr. Thomas can rent a car for 7 or fewer full days with $250.
I hope this helps :)
Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is 
ways
by using formula 
now simplification
= 
after cancelling 7! and on simplification
= 
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
