Question

A cylindrical vessel without a lid is made from a sheet of metal. Find the area of metal required if the length of the vessel is 35 cm and its diameter is 28 cm ?

Answer 1

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Answer 2

Answer:

The area of cylindrical vessel without a lid is 3694.51 cm².

Step-by-step explanation:

It is given that the diameter of cylinder is 28 cm and the height is 35 cm.

The radius of the cylinder is

$r=\frac{d}{2}=\frac{28}{2}=14$

The curve red surface area of cylinder is

$A_1=2\pi rh$

$A_1=2\pi (14)(35)$

$A_1=3078.76$

The area of base is

$A_2=\pi r^2$

$A_2=\pi (14)^2$

$A_2=615.7522$

The area of cylindrical vessel without a lid is

$A=A_1+A_2$

$A=3078.76+615.7521$

$A=3694.5121\approx 3694.51$

Therefore the area of cylindrical vessel without a lid is 3694.51 cm².