Question

The radius of a cone is 5 and the height is 11. What is the slant height, lateral area, total area and volume of the cone

Answer 1

Slant height = 12.083

Volume = 287.98

Explanation:

To find the slant height, we just need to use the Pythagorean Theorem.

a² + b² = c²

a = 5

b = 11

5² + 11² = c²

25 + 121 = c²

146 = c²

Root both sides to find c

√146 = √c²

c = 12.083

To find the volume we need to use this formula: πr²h/3

r = radius (5)

h = hieght (11)

π · 5² · 11 ÷ 3 = 287.98