Complete question :
There are many cylinders with a height of 9 inches. Let r represent the radius in inches and V represent the volume in cubic inches.
a. Complete the table relating the radius and volume of cylinders with height 9 inches. Write each volume as a multiple of , or round to the nearest cubic inch.
Answer:
A = 9π in³
B = 36π in³
C = 81π in³
Step-by-step explanation:
Radius, r = 1, 2, 3
Height of cylinder = 9
Volume, V of cylinder : πr²h
For, r = 1
V = π(1)²9 = 9π in³
For, r = 2
V = π(2)²9 = 4*9π in³ = 36π in³
For r = 3
V = π(3)²9 = 9*9π in³ = 81π in³
Answer:
y= 3/4z + 25/4
Step-by-step explanation:
2x + 4y = 1
3x-5y=7
To solve the simultaneous equations 2x + 4y = 1 and 3x - 5y = 7, we can use the elimination method. Multiply the equations to make the coefficients of x equal, subtract the equations, solve for y, and substitute the value of y in one of the original equations to find x. The solution is x = 3/2 and y = -11/22.
To solve the simultaneous equations:
2x + 4y = 1
3x - 5y = 7
We can use the method of substitution or elimination. Let's use the elimination method.
(6x + 12y) - (6x - 10y) = 3 - 14
22y = -11
Divide both sides by 22 to solve for y:
y = -11/22
Substitute the value of y in one of the original equations to solve for x:
2x + 4(-11/22) = 1
2x - 2 = 1
2x = 3
x = 3/2
Therefore, the solution to the simultaneous equations is x = 3/2 and y = -11/22.
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standard form: ax^2+bx+c
vertex form: a(x-h)^2+k