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, BA is the base

Answer 1

The total Surface Area of a right Cone is the sum of the area of its base and the lateral (side) surface.

The formula for the total surface area of a right cone is
`T.S.A=\pi rl+\pi r^2`

Where r is the radius, and l is the slant height

Answer 2

LA=πrs

Surface Area=πrs+πr²

Explanation:

We are given the slant height(s) and the radius(r) of the cone.

We have to find the formula for Lateral Area(LA) of the cone and surface area of cone.

Lateral Area of cone is given by: πrl

where r is the radius and l is the slant height

Here l=s

Hence, Lateral Area(LA)= πrs

Surface area of cone= lateral area of cone+area of base

= πrs+πr²