Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
Answer: B) 10 three-point questions and 14 five-point questions
<u>Step-by-step explanation:</u>
x represents three-point questions
y represents five-point questions
3x + 5y = 100 → 1(3x + 5y = 100) = 3x + 5y = 100
x + y = 24 → -3(x + y = 24) = <u> -3x -3y = -72 </u>
2y = 28
y = 14 (five-point questions)
x + y = 24
x + 14 = 24
x = 10 (three-point questions)
The answer is 1180 dollars. You can just multiply 295 x4
D. 5x = 45 because you are trying to find x, the number of tickets that must be sold to earn $45.