Question

22 cm

d = 25cm

What is the surface area of the cone? Use 3 14 for pl

(1 point)

2.383.26 square centimeters

863.5 square centimeters

3,689.5 square centimeters

Answer 1

To calculate the surface area of a cone, we use the formula:
Surface Area = πr(r + l)

Given that the diameter (d) is 25 cm, the radius (r) can be calculated by dividing the diameter by 2:
r = d/2 = 25/2 = 12.5 cm

We also need to find the slant height (l) of the cone. We can use the Pythagorean theorem to find l:
l = √(h^2 + r^2)

Given that the height (h) is 22 cm, we can calculate l as:
l = √(22^2 + 12.5^2) = √(484 + 156.25) = √(640.25) ≈ 25.34 cm

Now, we can substitute the values in the formula:
Surface Area = 3.14 * 12.5(12.5 + 25.34)
= 3.14 * 12.5 * 37.84
≈ 3,697.26 square centimeters

So, the correct answer is 3,689.5 square centimeters.