 MIXED PROBLEMS Example 8: Find the lateral area 
The lateral area is the wrap-around part of the cone, without the circular base SA = π·r·s + π·r2 SA = π·8·21 SA = 527.8 cm2 rounded to 1 d.p. Example 9: The ice cream cone is completely full of strawberry ice cream. Find the total volume of ice cream used. 
There are three parts to this problem: finding the volume of the half-sphere, the volume of the cone, and then adding the two results.Volume of Half-Sphere: V = (4πr3 ÷ 3) ÷ 2 V = (4π33 ÷ 3) ÷ 2 V = 56.55 Volume of Cone: V = (π·r2·H) ÷ 3 V = (π·32·10) ÷ 3 V = 94.25 Total Volume = 56.55 + 94.25 = 150.8 cm3 |