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A cone has height 15 cm and slant height 17 cm. Find its total surface area in terms of π.

Class 9Surface Area of a ConeMensuration

A255π $cm^{2}$
B136π $cm^{2}$
C200π $cm^{2}$
D64π $cm^{2}$

Step-by-Step Solution

r

= √

(1 7^{2} - 1 5^{2}) =

√64 = 8 cm. TSA = π ×

8 \times (17 + 8) = 200

π

cm^{2}

. (136π is the curved part.)

Answer: C) 200π

cm^{2}

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