Answer:
180π cm²
Step-by-step explanation:
The question asks us to find the lateral surface area of the cone. We are given the formula of lateral surface area as:
[tex]LSA=\pi\times r\times l[/tex]
where r is the radius of the base of the cone and l is the slant height.
We are already given the values for both the slant heigh and the radius. All we need to do is substitute these values into the equation.
[tex]\text{Lateral Surface Area} = \pi\times\text{radius}\times\text{slant height}[/tex]
[tex]LSA = \pi\times\text{12cm}\times\text{15cm}[/tex]
[tex]LSA = 180\pi\text{ cm}^2[/tex]
