Answer:
226.08 in
Step-by-step explanation:
To find how much water this container can hold, we should find the volume of this container.
Volume of cylinder = πr²h
= 3.14 × 3² × 8 (r= d/2 => 6/2 = 3)
= 226.08 in
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
Answer:
t = 1
Step-by-step explanation:
16 - 2t = t + 9 + 4t
=> 16 - 9 = 7t
=> 7 = 7t
=> t = 1