What is the surface area of a cylinder with base radius 3 and height 6 ?
Either enter an exact answer in terms of $\pi$ or use 3.14 for $\pi$ and enter your answer as a decimal.
$\square$ square units

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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the surface area of a cylinder, we use the formula $A = 2\pi r h + 2\pi r^2$. ‖ ‖ step 2 ⋮ Given the base radius $r = 3$ and height $h = 6$, we substitute these values into the formula: $A = 2\pi (3)(6) + 2\pi (3)^2$. ‖ ‖ step 3 ⋮ Simplify the expression: $A = 2\pi (18) + 2\pi (9)$. ‖ ‖ step 4 ⋮ Further simplification gives: $A = 36\pi + 18\pi = 54\pi$. ‖ ‖ step 5 ⋮ If we use $\pi \approx 3.14$, then $A \approx 54 imes 3.14 = 169.56$ square units. ‖ ∻Answer∻ ⚹ The exact surface area is $54\pi$ square units, and the approximate surface area is $169.56$ square units. ⚹ ∻Key Concept∻ ⚹Surface Area of a Cylinder⚹ ∻Explanation∻ ⚹The surface area of a cylinder is calculated by adding the areas of the two circular bases and the rectangular side. The formula used is $A = 2\pi r h + 2\pi r^2$.⚹◊What is the formula for calculating the surface area of a cylinder?⍭ Generate me a similar question◊

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