The formula for the surface area of a cylinder is 2πr(r+h) where r is the radius of the cylinder's base and h is its height.A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters.What calculation will give us the estimated surface area of the pole in square centimeters?Choose 1 answer:(A) 2π⋅10⋅12(B) 2π⋅10⋅210(C) 2π⋅0.01⋅2.01(D) 2π⋅0.01⋅200.01
Q. The formula for the surface area of a cylinder is 2πr(r+h) where r is the radius of the cylinder's base and h is its height.A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters.What calculation will give us the estimated surface area of the pole in square centimeters?Choose 1 answer:(A) 2π⋅10⋅12(B) 2π⋅10⋅210(C) 2π⋅0.01⋅2.01(D) 2π⋅0.01⋅200.01
Identify Given Values: Identify the given values for the radius and height of the cylinder. The radius r is 10 centimeters, and the height h is given in meters, so it needs to be converted to centimeters.Height in meters = 2 mConvert meters to centimeters: 1 m = 100 cmHeight in centimeters = 2 m ∗100 cm/m = 200 cm
Write Formula: Write down the formula for the surface area of a cylinder: Surface Area = 2πr(r+h).
Substitute Values: Substitute the given values into the formula: Surface Area =2×π×10cm×(10cm+200cm).
Simplify Expression: Simplify the expression inside the parentheses: 10cm+200cm=210cm.
Calculate Surface Area: Now, substitute the simplified expression back into the formula: Surface Area = 2×π×10cm×210cm.
Identify Correct Answer: Identify the correct answer from the given options. The calculation that matches our formula is (B) 2π⋅10⋅210.
More problems from Multi-step problems with unit conversions