Respuesta :
A) The total surface area of the given cylindrical container is 571.76 cm² and B) The volume of the given cylindrical container is 923.62 cm³.
What are the formulae for the total surface and volume of the cylinder?
Consider a cylinder with height 'h', and radius 'r'.
The total surface area of the cylinder(TSA) = 2πr (r + h) square units
and
The volume of the cylinder V = πr²h cubic units.
Calculation:
It is given that,
A cylindrical container closed on both ends has a radius r = 7 cm and a height h = 6 cm.
So,
TSA = 2πr (r + h)
= 2× π × 7 × (7 + 6)
= 14 × π × 13
= 571.76 cm²
and
Volume = πr²h
= π × 7² × 6
= π × 49 × 6
= 923.62 cm³
Therefore, the total surface area and volume of the cylindrical container are 571.76 cm² and 923.62 cm³ respectively.
Learn more about the cylinder and its surface area and volume here:
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