A paper cone has a base diameter of 8cm and height of 3cm

Question

C)calculate the curved surface area of the cone in terms of pie

Answer 1

To calculate the curved surface area of the cone, we need to find the slant height of the cone first. We can use the Pythagorean theorem to do this:

Slant Height (l) = √(r^2 + h^2)
= √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5 cm

Now, we can calculate the curved surface area of the cone:

Curved Surface Area = πrl
= π * 4 * 5
= 20π cm^2

Therefore, the curved surface area of the cone is 20π cm^2.