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.2r2 + 2rhB.BA + LAC.BA + 2r2D.2LA + r2E.r2 + rs
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.2r2 + 2rhB.BA + LAC.BA + 2r2D.2LA + r2E.r2 + rs
Solution
The correct formulas for finding the surface area of a right cone are:
B. BA + LA E. r^2 + rs
Here's why:
B. BA + LA: The surface area of a cone is the sum of the base area (BA) and the lateral area (LA).
E. r^2 + rs: This is another way to express the surface area of a cone. r^2 represents the base area (which is a circle, so the area is πr^2, but often π is omitted in these types of problems), and rs represents the lateral area (which is a sector of a circle, so the area is 1/2 the circumference times the slant height, or πrs, but again, π is often omitted).
The other options are incorrect:
A. 2r^2 + 2rh: This formula is incorrect. It seems to be a mix of the formulas for the volume of a cylinder (πr^2h) and the surface area of a sphere (4πr^2).
C. BA + 2r^2: This formula is incorrect. It seems to be adding an extra base area to the correct formula.
D. 2LA + r^2: This formula is incorrect. It seems to be doubling the lateral area and adding it to the base area.
Similar Questions
Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height?A.LA = 2rsB.LA = rsC.LA = rsD.LA = rs
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