The volume of a cylinder is 525 cm3. the radius of the base of the cylinder is 5 cm. what is the height of the cylinder? the height of the cylinder is cm. (simplify your answer.)

you do not give a value for PI so I am using 3.14

V=PI x r^2 x H

you know volume and radius so put those into the equation

525 = PI (3.14) x 5^2 x H

525 = 3.14 x 25 x H

525 = 78.5 x H

divide both sides by 78.5

6.687 = H

round off answer as needed 6.7cm or 6.69cm

 NOTE : the answer may vary slightly depending on the value of PI used.

 but this is how you calculate the height.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0