Find The Lateral Surface Area And Total Surface Area Of A Right Circular Cylinder In Which: r = 4ft, h = 12ft

just plug your numbers into the formula, which I'm sure you have.

We can check your work . . .

Calculate the total surface are

Calculate the total surface area

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To find the lateral surface area and total surface area of a right circular cylinder, you need to use the following formulas:

Lateral Surface Area = 2πrh
Total Surface Area = 2πr(r + h)

Given that r (radius) is 4ft and h (height) is 12ft, we can substitute these values into the formulas.

Lateral Surface Area = 2π(4ft)(12ft)
Total Surface Area = 2π(4ft)((4ft) + 12ft)

Now let's calculate the answers.

Lateral Surface Area = 2π(4ft)(12ft)
= 2π(48ft²)
= 96π ft²

Total Surface Area = 2π(4ft)((4ft) + 12ft)
= 2π(4ft)(16ft)
= 32π(4ft)
= 128π ft²

Therefore, the lateral surface area of the right circular cylinder is 96π square feet, and the total surface area of the cylinder is 128π square feet.