Step-by-step explanation:
Given data
Height of cone h= 6in to cm =6*2.54
15.24cm
Slant height l =10cm
All that applies
1.The height and the slant height form a right triangle
2. The radius of the base of the cone is 11.5cm
Since the slant height and the height form a right triangle we can apply Pythagoras theorem
Let the base be x
l²= h²+x²
10²= 15.24²+x²
100-232.25=x²
132.25=x²
x= √132.25
x= 11.50cm
3.The volume of a cone is expressed as V= 1/3(πr^²)h