# Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.

Question:

Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.

Solution:

It is given that:

Radius of the cone (r) = 6 cm

Height of the cone (h) = 8 cm

Total Surface Area of the Cone (T. S. A) =?

$l^{2}=r^{2}+h^{2}$

$=6^{2}+8^{2}$

= 36 + 64

= 100

l = 10 cm

T. S. A = Curved Surface Area of Cone + Area of Circular Base

$=\pi * r * 1+\pi * r^{2}$

$=(22 / 7 * 6 * 10)+(22 / 7 * 6 * 6)$

$=\frac{1320+792}{7}$

$=301.171 \mathrm{~cm}^{2}$

Therefore the area of the base is $301.71 \mathrm{~cm}^{2}$.

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