Surface Area of Cylinders Practice

Question

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Question
Find the surface area of a cylinder that has a height of 12 m and a diameter of 130 cm. Use 3.14 for π. Round to the nearest hundredth at the last step. (1 point)

Answer 1

First, we need to find the radius of the cylinder by dividing the diameter by 2:

Radius = 130 cm / 2 = 65 cm

Next, we calculate the surface area using the formula:

Surface Area = 2πrh + 2πr^2
Surface Area = 2(3.14)(65 cm)(12 m) + 2(3.14)(65 cm)^2
Surface Area = 2(3.14)(65 cm)(12 m) + 2(3.14)(4225 cm^2)
Surface Area = 2(3.14)(65 cm)(12 m) + 2(13265 cm^2)
Surface Area = 12.56 m^2 + 26530 cm^2

Now we need to convert the surface area to the same unit before adding:

12.56 m^2 = 12560 cm^2

Now we can add the two areas together:

12560 cm^2 + 26530 cm^2 = 39090 cm^2

Therefore, the surface area of the cylinder is 39090 cm^2, rounded to the nearest hundredth.