A cone is a three dimensional geometric shape with one vertex and a circular base. The line form the centre of the base to the apex is the perpendicular height.
Table of Contents:
Slant height of Cone (l) = Sqrt(r² + h²)
Volume of Cone = (1/3)πr² h
Curved Surface Area (CSA) of Cone = πrl
Total Surface Area (TSA) of Cone = πr(l + r)
r = radius, l = slant height, h = height, π = 3.14
A Cone is a geometric shape formed by having a circle at one end, usually at a base. It consists of all line segments joining to a single point to every point of a two-dimensional figure.
Find the volume, curved surface, and total surface area of a cone with the given radius 3 and height 4.
Step 1: Find the slant height.
Slant height (l) = Sqrt(r² + h²) = Sqrt(3² + 4²)= Sqrt(9 + 16) = Sqrt(25) = 5.
Step 2: Find the volume.
Volume = (1/3)πr² h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 = 37.68.
Step 3: Find the curved surface area (CSA).
CSA = πrl = 3.14 * 3 * 5 = 47.1.
Step 4: Find the total surface area (TSA).
TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 = 75.36.