Surface Area of Cylinders Practice
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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)
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.