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b. Right Circular Cylinder Topped with Hemisphere

Given:
- Height of the cylinder: 22 ft
- Radius of the cylinder (and hemisphere): 60 ft

Calculate the surface area of the right circular cylinder topped with a hemisphere.
(Simplify your answer. Type an exact answer, using radicals as needed.)

Sagot :

GinnyAnsweridn

Final answer:

To find the surface area of a right circular cylinder topped with a hemisphere, calculate the surface area of the cylinder and the hemisphere separately, then add them together.


Explanation:

To find the surface area of a right circular cylinder topped with a hemisphere, we need to calculate the surface area of the cylinder and the surface area of the hemisphere separately. The surface area of a cylinder is given by the formula: 2πrh + 2πr², where r is the radius and h is the height. The surface area of a hemisphere is half the surface area of a sphere with the same radius, which is 2πr².

Given the dimensions of the cylinder and hemisphere in the question (radius and height), substitute these values into the formulas to calculate the individual surface areas. Add the surface area of the cylinder and the hemisphere to get the total surface area of the figure.

For the given dimensions of 22 ft and 60 ft, substitute these values into the formulas and perform the calculations to determine the total surface area of the right circular cylinder topped with a hemisphere.


Learn more about Surface area of right circular cylinder topped with hemisphere here:

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