Surface Area of Solid Cylinder

In summary, to find the surface area of one of two resulting objects when a solid cylinder with a radius of 5.0 cm and a length of 10.0 cm is cut in half lengthwise, you can use the formula SA = 2(pi)(r^2) + L(pi)(r^2) and take into account the contributions from two end semi-circles, a rectangle of the cut surface, and a rectangle of one half of the cylinder "unrolled." It is important to note that the units should remain consistent and area is measured in units^2, not units^3.
  • #1
carlodelmundo
133
0

Homework Statement



A solid cylinder with a radius of 5.0 cm and a length of 10. cm is cut in half lengthwise. What is the surface area of one of the two resulting objects?

Homework Equations



SA = 2(pi)(r2) + L(pi)(r2)

The Attempt at a Solution



Is that the correct formula? If it is I am getting 863 in^3 as an answer :(
 
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  • #2
the surface area of half the solid cylinder will be the sum of contributions from:
2 x end semi-cricles
rectangle of cut surface
rectangle of one half of cylinder "unrolled"

also why change from cm to in?
 
  • #3
And area isn't measured in units3.
 

Related to Surface Area of Solid Cylinder

What is the formula for finding the surface area of a solid cylinder?

The formula for finding the surface area of a solid cylinder is 2πrh + 2πr², where r is the radius of the base and h is the height of the cylinder.

How do you calculate the surface area of a hollow cylinder?

The formula for finding the surface area of a hollow cylinder is 2πrh + 2π(R²-r²), where r is the inner radius, R is the outer radius, and h is the height of the cylinder.

What are the units of measurement for surface area?

The units of measurement for surface area are typically square units, such as square inches, square feet, or square meters. This is because surface area is a measurement of area, which is expressed in square units.

Can the surface area of a cylinder be greater than its volume?

Yes, it is possible for the surface area of a cylinder to be greater than its volume. This can occur when the cylinder has a large height and small radius, resulting in a larger surface area compared to its volume.

How is the surface area of a cylinder used in real life?

The surface area of a cylinder is used in various real-life applications, such as calculating the amount of paint needed to cover a cylindrical object, determining the amount of material required to construct a cylinder, and in engineering and architecture for designing structures and machinery with cylindrical components.

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