The surface area of a cone is given by the formula A = πr² + πrℓ, where r is the radius and ℓ is the slant height.
In this case, the radius is 6 cm and the slant height is 10 cm (use the Pythagorean theorem to find ℓ: ℓ² = 8² + 6² = 100, so ℓ = √100 = 10).
Therefore, A = π(6)² + π(6)(10) ≈ 571.8 cm².
The answer is b. 571.8 cm².
What is the surface area of the cone to the nearest tenth? The figure is not drawn to scale.
Image: www(dot)connexus(dot)com/content/media/941080-7222013-22543-PM-660972754(dot)gif
a. 906.4 cm²
b. 571.8 cm²
c. 542.4 cm²
d. 417.8 cm²
1 answer