Step-by-step explanation:
hope it helps you..........
Answer:
22.88 cm^3
Step-by-step explanation:
The volume of a sphere formula is (4/3)*pi * (radius)^3
Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.
Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.
We have:
Volume = (4/3) * pi * (2.54)^3 * (1/3)
= 22.88 cm^3
The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
the values that satisfy both equations (not at the same tim) are the valuess that are the domain
solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
k+6=0
k=-6
k-4=0
k=4
k=-6 or 4
64=k²+2k+1
minus 64 both sides
0=k²+2k-63
facor
0=(k-7)(k+9)
set to zer
k-7=0
k=7
k+9=0
k=-9
k=-9 or 7
so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
answer is {4,7} is the domain
I think B similar but you can use quizzing to find the answer that always gives you answers to the WHOLE quizz