Answer:
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
