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Use the formulas for the lateral area and surface area of a cylinder.
Lateral Area: 1131.0 in^2
Surface Area: 1639.9 in^2
Let's calculate the lateral area and the surface area of the given cylinder.
To calculate the lateral area of a cylinder, we can use the following formula. L=2π rh In this formula, r is the radius of the base and h is the height of the cylinder. We know that the diameter d of the base is equal to 18inches and is exactly twice as long as its radius. d=2r ⇒ r= d2= 182=9in. Substituting r with 9 and h with 20 into the formula, we can find L.
We know that lateral area is 360Ï€ or about 1131.0 in^2.
To calculate the surface area of a cylinder, we can use the following formula. S=L+2Ï€ r^2 In this formula, L is the lateral area of the cylinder and r is the radius of the base. Substituting L with 720Ï€ and r with 9 into the formula, we can find S. Let's do it!
The surface area of the cylinder is about 1639.9 in^2.