Answer:
Please check explanations
Explanation:
To find the volume of the surface area of a cone, we need to use the height and not the slant height of the cone
The slant height, the height and the base radius forms a right triangle with the slant height being the hypotenuse of this triangle
By Pythagoras’ theorem, the square of the hypotenuse (slant height) equals the sum of the squares of the two other sides
6.5^2 = 2.5^2 + h^2
h^2 = 36
h = √36
h = 6 cm
So we have the volume as;
V = 1/3 * pi * r^2 * h
where r in this case is base radius of 2.5 cm
V = 1/3 * pi * 2.5^2 * 6 = 39.3 cm^3