Find in term of pi the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
The radius of the cone can be found by dividing the diameter by 2:
r = 10 cm / 2 = 5 cm
The slant height (l) of the cone can be found using the Pythagorean theorem:
l^2 = r^2 + h^2
l^2 = 5^2 + 12^2
l^2 = 169
l = √169
l = 13 cm
The curved surface area (CSA) is given by:
CSA = πrl
CSA = π(5 cm)(13 cm)
CSA = 65π cm^2
Therefore, the curved surface area of the cone is 65π square centimeters.