Answer:
The volume ratio is also 5 : 7
Step-by-step explanation:
The volume of a cylinder is given by the following formula:
volume = pi*r²*h
Since we have two cylinders and their height varies at a ratio of 5:7 we can say that the smaller one has a height of "h" while the bigger has height of "(7/5)*h". Thefore their volume is:
volume smaller = pi*r²*h
volume bigger = pi*r²*(7/5)*h
volume bigger = (7/5)*pi*r²*h
The ratio of their volume is given by the division of the smaller volume by the bigger one:
volume ratio = volume smaller / volume bigger
volume ratio = (pi*r²*h) / [(7/5)*pi*r²*h] = 1/(7/5)
volume ratio = 5/7
The volume ratio is also 5 : 7.
Answer:
Explanation:
12x = 48 - 8y
10x + 8y = 38
———————
12x + 8y = 48
10x + 8y = 38
———————
12x + 8y = 48
-1(10x + 8y = 38)
————————
12x + 8y = 48
-10x - 8y = -38
————————
2x = 10
x = 10/2 = 5
If x = 5 then:
10x + 8y = 38
10(5) + 8y = 38
50 + 8y = 38
8y = 38 - 50
8y = -12
y = -12/8
y = -3/2
Therefore, x = 5 and y = -3/2
Answer: 2 hrs and 30 mins
Explanation:
125/150 = 5/2
5/2 = 2.5
