Math, asked by bjos, 1 year ago

curved surface area of a cylinder is 2π (y2

– 7y + 12) and its radius is (y – 3). Find the

height of the cylinder.

Answers

Answered by resu96

the height of the cylinder = y-4

bjos: can you tell the steps

Muskanprakashsingh: Since area of curved surface is 2πthat and r=y-3

Muskanprakashsingh: Then 2π*y-3*h=2π(y²-7y+12) then cancel 2π on both sides and then h(y-3)=y²-7y+12 then y²-3y-4y+12 which will give (y-3)and (y-4) and then h(y-3)=(y-4)(y-3) and then cancel (y-3) and hence the answer will be h=y-4

Answered by wifilethbridge

The cylinder is y-4

Step-by-step explanation:

Radius of cylinder =(y-3)

Curved surface area of cylinder = $2 \pi r h = 2 \pi (y-3) h$

We are given that Curved surface area of cylinder is $2 \pi (y^2-7y+12)$

So, $2 \pi (y-3) h=2 \pi (y^2-7y+12)$

$(y-3)h=y^2-7y+12$

(y-3)h=(y-4)(y-3)

h=(y-4)

Hence The cylinder is y-4

#Learn more:

The radius and height of a cylinder are in the ratio

7:2. If the volume of the cylinder is 8316 cm", find

the radius and height of the cylinder.

https://brainly.in/question/14764366

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curved surface area of a cylinder is 2π (y2– 7y + 12) and its radius is (y – 3). Find the height of the cylinder.

Answers

The cylinder is y-4

curved surface area of a cylinder is 2π (y2

– 7y + 12) and its radius is (y – 3). Find the

height of the cylinder.