A cylinder and its dimensions are shown in the diagram. Which measurement is closest to the lateral surface area of the cylinder in square inches? 1,597. 9 in2 677. 3 in2 555. 7 in2 1111. 4 in2.

Respuesta :

An object's lateral surface includes all of its sides, omitting the base and top. .The lateral surface area of a cylinder is 44.56 sq. inches.

What is the lateral surface area of the cylinder?

An object's lateral surface includes all of its sides, omitting the base and top. The area of the lateral surface is denoted by the term lateral surface area. This differs from the total surface area, which includes the lateral surface area as well as the base and top regions.

The given data in the problem will be ;

r is the radius of cylinder=4.2 cm

h is the height of the cylinder=10.9 cm

L is the lateral surface area of the cylinder =?

The formulas of the lateral surface area of the cylinder will be;

[tex]\rm L= 2\pi rh\\\\\rm L= 2\times 3.14 \times 4.2 \times 10.9\\\\\rm L= 287.4984 \;sq.cm[/tex]

1 sq cm =0.155 sq inches

287.4984 sq cm = 44.56 sq. inches

Hence the lateral surface area of a cylinder is 44.56 sq. inches.

Learn more about the lateral surface area of the cylinder refer ;

https://brainly.com/question/11385509

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