Question

A right circular cylinder has height as 18 cm and radius is 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area

Answer 1

Step-by-step explanation:

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Answer 2

56 cm² percentage increase in total surface area.

Step-by-step explanation:

Consider the provided information.

The total surface area of the cylinder is: T.S=2πrh+2πr²

The surface area of the bigger cylinder is:

$T.S=2\times\frac{22}{7}\times7\times18+2\times\frac{22}{7}\times7^2\\\\T.S=792+308\\T.S=1100$

Now the cylinder is cut in three equal parts.

Therefore the length of each smaller cylinder is $\frac{18}{3}=6$ cm.

The total surface area of each smaller cylinder is:

$T.S=2\times\frac{22}{7}\times7\times6+2\times\frac{22}{7}\times7^2\\\\T.S=264+308\\T.S=572$

But there are 3 such smaller cylinder,

3×572 cm²=1716 cm²

The percentage increase in total surface area is:

$\%=\frac{1716-1100}{1100}\times100\\\\\%=\frac{616}{11}\\\\\%=56$

Hence, 56 cm² percentage increase in total surface area.

#Learn more

The total surface area of cylinder is 462cm. Its curved area is one-third of its total surface area. find the volume of the cylinder.

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