Answer:

Step-by-step explanation:
The volume of a cylinder,
is given by the formula,

Where,
is the radius and
is the height of the cylinder.
Here,
,
. Plug in these values and solve for radius,
.
This gives,

Taking square root both sides, we get

Therefore, the radius of the cylinder can be expressed as
.
Answer:
the second and thrid one :)
Step-by-step explanation:
Answer:

Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
Gradient of given line= 3.
(Gradient of line)(3)= -1
3m= -1
m= 
subst. m=
into the equation:

To find the value of c, substitute a coordinate.
When x=0, y=4,

Thus the equation of the line is
.
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that


Generally the slope of the perpendicular to the given line is mathematically evaluated as

=>
=>
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
