A spyglass in the shape of a cone has a slant height of 18 centimeters and a radius of 6 centimetersWhat is the surface area of the spyglass ? Use 3.14 for pi

1 answer

To find the surface area of the spyglass, we need to find the curved surface area of the cone.

The formula for the curved surface area of a cone is given by:

CSA = π * r * l

Where:
CSA = curved surface area
r = radius of the cone
l = slant height of the cone

Given that the radius (r) of the cone is 6 centimeters and the slant height (l) is 18 centimeters, substituting these values into the formula we get:

CSA = 3.14 * 6 * 18
CSA = 339.12 cm² (rounded to two decimal places)

Therefore, the surface area of the spyglass is approximately 339.12 square centimeters.