Final answer:
To calculate the lateral surface area of a cone with a radius of 8 cm and slant height of 15 cm, use the formula LSA = πrl, yielding an LSA of 120π cm².
Step-by-step explanation:
To find the lateral surface area (LSA) of a cone, you can use the formula LSA = πrl, where r is the radius of the cone's base and l is the slant height. In this instance, the values given are r = 8 cm and l = 15 cm.
Thus, the lateral surface area of the cone is calculated as follows:
LSA = π × r × l
LSA = π × 8 cm × 15 cm
LSA = 120π cm².
Therefore, the lateral surface area of the cone, in terms of π, is 120π cm².