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Formula: (2*pi*radius2)+(2*pi*radius*height) = area

So: (2*pi*3.692)+(2*pi*3.69*height) = 548.324157

Divide all terme by 2*pi*3.69:

3.69+height = 548.324/2*pi*3.69

Subtract 3.69 from both sides to find height:

height = (548.324/2*pi*3.69)-3.69 = 19.96 cm

Check: (2*pi*3.692)+(2*pi*3.69*19.96) = 548.324157 square cm

Q: What is the height of a cylinder when its radius is 3.69 cm with an entire surface area of 548.324157 square cm showing work?

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Entire surface area of a cylinder = (2*pi*radius2)+(diameter*pi*height)

Entire surface area = (2piradius2)+(pidiameterheight) in square units

Surface Area = 2(pi r 2) + (2 pi r)* h

Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi

Entire surface area = (2pi72)+(14pi10) = 747.699 square units to 3 decimal places

Related questions

Entire surface area = (2*pi*radius2)+(pi*diameter*height)

Entire surface area of a cylinder = (2*pi*radius2)+(diameter*pi*height)

Entire surface area of a cylinder = (2*pi*radius2)+(pi*diameter*height)

Entire surface area = (2piradius2)+(pidiameterheight) in square units

Surface Area = 2(pi r 2) + (2 pi r)* h

Entire surface area of a cylinder = (2*pi*radius2)+(pi*diameter*height)

Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi

Entire surface area = (2*pi*radius2)+(pi*diameter*height)

Entire surface area = (2pi72)+(14pi10) = 747.699 square units to 3 decimal places

Change the mixed numbers into improper fractions or decimals and use the formula for the cylinder's entire surface area of: (2*pi*radius2)+(pi*diameter*height)

Entire surface area = (2pi32)+(pi65) = 150.796 square inches to 3 decimal places

The surface area of a right cylinder can be calculated by adding the areas of the two bases and the lateral surface area. The formula for the surface area of a right cylinder is 2πrh + 2πr^2, where r is the radius and h is the height. Plugging in the values 8 for the radius and 15 for the height, the surface area of the cylinder would be 720π square units.