A cone with a radius of 6 meters has a volume of 542.87m^3. Find the slant height of the cone.

Slant height = 14.394m

Step-by-step explanation:

Using the formula for volume of a cone

V = πr^2h/3

V - volume of a cone

π - pie 22/7

r - radius of a cone

h - slant height of a cone

We are provided with some information

V = 542.87cm^3

π - 22/7

r = 6m

h = ? m

Inserting the values given into the formula

V = πr^2h/3

542.87 = 22/7 * 6^2 * h/3

542.87 = 22/7 * 36 * h/3

542.87 = 22 * 36 * h / 7 * 3

542.87 = 792h / 21

Cross multiply

542.87 * 21 = 792h

11400.27 = 792h

To get the value of h, divide both sides by 792

11400.27/792 = 792h / 792

14.394 = h

h = 14.394m

Slant height = 14.394m