A cylinder has a total surface of 3,41946cm2 and a diametre of 0,66cm. What is its height? Step by step

Total surface Area(A) = 2pi*r(r+h)

Diameter D= 2r

r=0.66/2=0.33cm

A=3.41946

3.41946=2*3.143*0.33(0.33+h)

3.41946=2.0744(0.33+h)

3.41946/2.0744=(0.33+h)

1.6484=0.33+h

1.6484-0.33=h

h=1.3184cm

Step-by-step explanation: Total surface area is different from area around the cylinder.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: