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Question

Find the total surface area of a cone whose diameter of the base is 20 cm and slant height is 25 cm.

WBBSE Class X Mathematics Right Circular Cone 02 Mark 2022

Answer

Diameter = 20 cm ⇒ radius (r) = 10 cm

Slant height (l) = 25 cm

Total Surface Area (TSA) of cone = πrl + πr²

= π × 10 × 25 + π × 10²

= 250π + 100π

= 350π cm²

TSA = 350 × \frac{22}{7} = 1100 cm²

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