The curved surface area of a cylinder is 2- y2-7y-12 and its radius is y-3- Find the height of the cylinder-

Given CSA of cylinder = 2π (y^2 7y + 12) radius = y 3 we know CSA = 2π r h = 2 π (y^2 7y+12) h = y^2 7y + 12y 3 height = [see image]He ...

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Standard IX

Mathematics

Right Circular Cylinder

The curved su...

Question

The curved surface area of a cylinder is $2 π (y^{2} - 7 y + 12)$ and its radius is (y-3). Find the height of the cylinder.

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Solution

given CSA of cylinder $= 2 π (y^{2} - 7 y + 12)$
radius $= y - 3$
we know CSA $= 2 π r h = 2 π (y^{2} - 7 y + 12)$
$h = \frac{y^{2} - 7 y + 12}{y - 3}$
height = [see image]
Hence height of given cylinder is $y - 4$

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

given CSA of cylinder =2π(y2−7y+12)radius =y−3we know CSA =2πrh=2π(y2−7y+12)h=y2−7y+12y−3height = [see image]Hence height of given cylinder is y−4

The curved surface area of a cylinder is $2 π (y^{2} - 7 y + 12)$ and its radius is (y-3). Find the height of the cylinder.

given CSA of cylinder $= 2 π (y^{2} - 7 y + 12)$
radius $= y - 3$
we know CSA $= 2 π r h = 2 π (y^{2} - 7 y + 12)$
$h = \frac{y^{2} - 7 y + 12}{y - 3}$
height = [see image]
Hence height of given cylinder is $y - 4$