MATHEMATICS MIDDLE SCHOOL

What is the surface area of the cylinder?Use a = 3.14 and round to the nearest tenth, if needed.
d= 4 cm
8.2 cm
OA) 32.8 cm2
OB) 128.1 cm2
OC) 103 cm2
OD) 422.3 cm?
What is the surface area of the cylinder? Use a - 1

Answers

Answer 1
Answer:

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Question :-

  • A cylinder has a diameter of 4 cm and a height of 8.2 cm. What is the surface area of the cylinder?

Answer :-

  • The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.

\rule{180pt}{3pt}

Diagram :-

\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{2 \: cm}}\put(9,17.5){\sf{8.2 \: cm}}\end{picture}

Solution :-

As per the provided information in the given question, we have been given that the diameter of the cylinder is 4 cm. Thus, the radius of the cylinder is 2 cm. The height of the cylinder is 8.2 cm. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_((Cylinder)) = 2\pi r^2 + 2\pi rh \:\:}}

Substitute the given values into the above formula and solve for surfacearea:

\sf:\implies Surface \: Area_((Cylinder)) = 2\pi r^2 + 2\pi rh

\sf:\implies Surface \: Area_((Cylinder)) = (2)(3.14)(2 \: cm)^2 + (2)(3.14)(2 \: cm)(8.2\:cm)

\sf:\implies Surface \: Area_((Cylinder)) = (2)(3.14)(4 \: cm^2) + (2)(3.14)(16.4\:cm^2)

\sf:\implies Surface \: Area_((Cylinder)) = (2)(12.56 \: cm^2) + (2)(51.496 \: cm^2)

\sf:\implies Surface \: Area_((Cylinder)) = 25.12 \: cm^2 + 102.992 \: cm^2

\sf:\implies \bf{Surface \: Area_((Cylinder)) = 128.112 \: cm^2}

Therefore :-

  • The surface area of the cylinder is 128.112 cm². Thus, the 2ndoption, B makes it as the correctanswer.

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Learn more about the surface area of the cylinder at brainly.com/question/30914875

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