The given solid is a cone with a radius of 13.5 inches and a slant height of 7.5 inches. To calculate the lateral area of a cone, we must know that the lateral area of a right cone is half the product of the circumference of the base and the slant height.
L.A.=1/2* 2π r* l ⇔ L.A.=π rl
In this formula, r is the radius and l is the slant height of the cone. We know that the radius of the cone is 13.5 inches and that the slant height of the cone is 7.5 inches. With this information, we are able to calculate the lateral area of the cone. To do so, we will substitute r= 13.5 and l= 7.5 into the formula for the lateral area. Let's do it!
