8. A right circular cylinder with an altitude of 40 cm and base diameter of 30cm has a right circular cone at its top with the same base. If the cone is 60cm high, determine its lateral area in cm2.
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Expert's answer
2020-12-13T18:43:36-0500
Solution. The lateral area of the body is equal to the sum of the lateral area of the right circular cylinder and the lateral area of the right circular cone
S=Scylinder+Scone
The lateral area of the right circular cylinder
Scylinder=π×dH1
where d=30cm is base diameter; H1=40cm is altitude of the right circular cylinder.
Scylinder=π×30×40=1200πcm2
The lateral area of the right circular cone
Scone=π×rL
where r=d/2=15cm is cone base radius, L is slant height of the cone.
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