A paper cone has a base diameter of 8cm and a height of 3cm.calculate the cone in terms of
volume and surface area.
Volume of cone = 1/3 * π * r^2 * h
where r = radius of base = 8cm/2 = 4cm
h = height = 3cm
Volume = 1/3 * π * 4^2 * 3 = 16π cm^3
Surface area of cone = π * r * (r + √(r^2 + h^2))
= π * 4 * (4 + √(4^2 + 3^2))
= π * 4 * (4 + √(16 + 9))
= π * 4 * (4 + √25)
= π * 4 * (4 + 5)
= π * 4 * 9
= 36π cm^2
Therefore, the volume of the cone is 16π cm^3 and the surface area is 36π cm^2.