Answer:
6
Step-by-step explanation:
Answer:
496 is the correct answer.
Step-by-step explanation:
Solve for m:
2 m - 5 - 3 = 10 - m
Subtract like terms. -3 - 5 = -8:
2 m - 8 = 10 - m
Add m to both sides:
2 m + m - 8 = (m - m) + 10
m - m = 0:
2 m + m - 8 = 10
2 m + m = 3 m:
3 m - 8 = 10
Add 8 to both sides:
3 m + (8 - 8) = 8 + 10
8 - 8 = 0:
3 m = 10 + 8
10 + 8 = 18:
3 m = 18
Divide both sides of 3 m = 18 by 3:
(3 m)/3 = 18/3
3/3 = 1:
m = 18/3
The gcd of 18 and 3 is 3, so 18/3 = (3×6)/(3×1) = 3/3×6 = 6:
Answer: m = 6
The ratio of the volumes of a cylinder and a cone having the same base radius and height is 3 : 1
<u>Solution:</u>
Given that, we have to find What is the ratio of the volumes of a cylinder and a cone having the same base radius and height.
Let "r" be the radius and "h" be the height of cylinder and cone
Let us calculate the volume of cylinder and cone
<em><u>The volume of cylinder is given as:</u></em>

where "r" is the radius and "h" is the height of cylinder
<em><u>The volume of cone is given as:</u></em>

Now, <em>ratio of volumes = volume of cylinder : volume of cone</em>

Cancelling the common terms on both sides, we get,

By multiplying with 3, we get
Ratio of volumes = 3 : 1
Hence the ratio of volume of cylinder to cone is 3 : 1
I think the answer will be
<span>Doug 80:60 --> 4:3
Cindy 120:82 --> 60:41
have a great day!!!</span>