Which of the following formulas would find the surface area of a right cylinder where h is the height, r is the radius, and BA is the base area?Check all that apply.A.2r2B.r2 + rhC.BA + 2rhD.BA + r2E.2r2 + 2rh
Question
Which of the following formulas would find the surface area of a right cylinder where h is the height, r is the radius, and BA is the base area?Check all that apply.A.2r2B.r2 + rhC.BA + 2rhD.BA + r2E.2r2 + 2rh
Solution
The surface area of a right cylinder can be calculated using the formula: 2πr(h + r).
Let's break down each option:
A. 2r^2: This formula does not account for the height of the cylinder or the base area, so it is incorrect.
B. r^2 + rh: This formula does not account for the two bases of the cylinder, so it is incorrect.
C. BA + 2rh: This formula is partially correct. It accounts for the base area and the lateral area (2rh), but it only includes one base area (BA) instead of two.
D. BA + r^2: This formula does not account for the lateral area (2rh), so it is incorrect.
E. 2r^2 + 2rh: This formula is incorrect because it does not account for the base area (BA).
So, none of the options provided are correct. The correct formula for the surface area of a right cylinder is 2πr(h + r) or 2BA + 2rh if you express the base area as BA = πr^2.
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