The curved surface area of cylinder is 154 cm square the total surface area is three times its curved surface area find the volume of cylinder plzzz give the full answer and very fast its so urgent for me plz give the value of r and h radius and height

So, as before
curved surface area=154=2h(pi)r

total surface area=3 times curved
total=3 times 154
total =462

total=curved+2(area of base)
462=154+2(area of base)
subtract 154
308=2(area of base)
divide 2
154=area of base
area of base=pir^2
solve for radius
154=pir^2
aprox pi to 3.14
154=3.14r^2
divide both sides by 3.14
49=r^2
square root both sides
7=r
RADIUS=7

find hiehgt
we know that 154=2h(pi)r
subsittue 3.14 for pi and 7 for r
154=h2(3.14)(7)
154=h43.96
divide both sides by 43.96
3.5=h

volume=height times pi times r^2
volume=3.5 times pi times 7^2
volume=3.5 times pi times 49
volume=171.5 times pi
volume=171.5pi
aprox pi to 3.14
volume=3.14(171.5)
volume=538.51

radius=7 cm
height=3.7 cm
volume=171.5pi cm^3 or 538.51 cm^3

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

9/12 is the answer because 3/4 times 3 each is 9/12