What is the approximate surface area of this pencil? (Use 3 point one four for pi. Round your answer to the nearest whole number.)
A pencil that comes to a point at the end is shown. The part of the pencil that does not come to a point is fifteen centimeters long. The diameter is zero point six centimeters. The top of the pencil, which comes to a point, has a slant height of 2 centimeters.
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Please could someone explain to me how to do it? I am really having trouble
I am thinking that the pencil can be thought of as a right circular cylinder topped by a right circular cone. See the uploaded image.
The task is to find the surface area of a cylinder with base radius .3 cm and height 15 cm and then to that to add the lateral area of a right circular cone with base radius .3 cm and slant height 2 cm.. Note: the surface area of the cylinder will include only one base along with the lateral area of the cylinder.
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Pencil Surface Area
2 pi r h + B where B is the area of one circular base
2 pi (.3) (15) + pi (.3)^2
Exposed Surface Area of Cylinder is: 9.09 π
Lateral Area of Cone
LA = pi r L
LA of Cone = .6 π
Surface Area of Entire Pencil = 9.09 π + .6π = 9.69 π square centimeters --> Answer