Question

The area of the circular base of a cone is 167 cm², and the slant height of the cone is 4 times the radius of the cone.

What is the approximate lateral area of the cone?
Use ≈ 3.14
Enter your answer rounded to the nearest whole number in the box.
cm²

Answer 1

Let's call the radius of the cone r. Then the slant height is 4r.

The area of the circular base is given by:
A = πr^2 = 167 cm²
So, r^2 = 167/π and r ≈ 4.55 cm.

The lateral area of the cone can be found using the formula:
A = πr * s
Where s is the slant height. Substituting in the values:
A ≈ π * 4.55 * 4 * 4.55 = 94 cm² (rounded to the nearest whole number).

The lateral area of the cone is approximately 94 cm²