MIXED PROBLEMSExample 8: Find the lateral areaThe lateral area is the wrap-around part of the cone, without the circular base SA = π·r·s + π·r ^{2}SA = π·8·21 SA = 527.8 cm rounded to 1 d.p.
^{2}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 = (4πr ^{3} ÷ 3) ÷ 2V = (4π3 ^{3} ÷ 3) ÷ 2V = 56.55 Volume of Cone:V = (π·r ^{2}·H) ÷ 3V = (π·3 ^{2}·10) ÷ 3V = 94.25 Total Volume = 56.55 + 94.25 = 150.8 cm
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