29) A small cone with radius of the base 3cm is cut from the upper portion of a cone whose radius of
the circular base is 12 cm and height 2 cm. Find the lateral surface area of the frustum of the cone.
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Given : A small cone with radius of the the base 3cm is cut from the upper portion of cone whose radius of the circular base is 12cm and height 2cm
To Find : lateral surface area of the frustum of the cone
Solution:
lateral surface area of the frustum of the cone = π(R + r)( √(R-r)² + h²)
R = 12 cm
r = 3 cm
h = 2 cm
= π(12 + 2)( √(12-3)² + 2²)
= 14π √9² + 2²
= 14π √85
= 14 (22/7) √85
= 44 √85
the lateral surface area of the frustum of the cone = 44 √85 cm²
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