WBBSEClass XMathematicsRight Circular Cone04 Mark2025 Moderate

QQuestion

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical angle.

Exam-ready answer 04 Mark

Answer

Curved Surface Area (CSA) = π r l

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical angleor, 154√2 = π × 7 × l

or, 154√2 = \frac{22}{7}  × 7 × l

or, 22 × l = 154√2

or, 22l = 154√2

or, l = 7√2 cm

Calculating Vertical angle (θ) :

sin θ\over2 = r / l

= 7\over7√2

= 1\over√2

sin θ\over2 = sin 45º

or, θ\over2 = 45º

or, Vertical angle (θ) = 2 × 45º = 90º

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