The ratio of their bases = 3√3 : 8
Step-by-step explanation:
Given,
The ratio of the volume of two cylinders is 27:64.
To find the ratio of the diameters of the cylinders of their base.
Formula
Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h
Let,
Radius of cylinder 1 is R and the radius of the cylinder 2 is r.
The height of the both cylinder is h.
According to the problem,
πR²h= 27a and πr²h= 64a
So,
πR²h : πr²h = 27a:64a
or, R²:r² = 27:64
or, R:r = 3√3 : 8
Hence,
The ratio of their bases = 3√3 : 8
Answer:
36.0555
Step-by-step explanation:
Answer:15
Step-by-step explanation:
<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>
Answer:
<em>x = -9</em>
<em>y = 2</em>
Step-by-step explanation:
<u>Solve the system:</u>
2x + 3y = -12 [1]
2x + y = -16 [2]
Subtracting [1] and [2]:
3y - y = -12 + 16
2y = 4
y = 4/2 = 2
From [1]:
2x + 3(2) = -12
2x + 6 = -12
2x = -18
x = -18/2 = -9
Solution:
x = -9
y = 2
The given expression :

For coordinates:
put x = 0 then :

Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :

Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :

Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :

Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :

Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :