Question

Which of the following formulas would find the surface area of a right cone where s is the slant height, r is the radius, LA is the lateral area, and BA is the base area? Check all that apply.

A. π r²+π rs
B. BA+LA
C. BA+2π r²
D. 2LA+π r^2
E. 2π r²+2π rh

Answer 1

The correct formulas to find the surface area of a right cone with the given variables are BA + LA and πr² + πrs, which both represent adding the base area to the lateral area of the cone. Therefore, the correct answers are options A. π r²+π rs and B. BA+LA.

Step-by-step explanation:

The correct formulae to find the surface area of a right cone using the given variables are:

• BA + LA
• πr² + πrs

To find the surface area (SA) of a cone, you add the base area (BA) to the lateral area (LA). The base area is πr², where r is the radius of the cone's base. The lateral area can be calculated as πrs, where s is the slant height of the cone. Therefore, the surface area of the cone is BA + LA, which simplifies to πr² + πrs.