Question

find the T.S.A. OF CONE RADIUS IS =8CM, AND HEIGHT IS 12 cm

Answer 1

Given :

Radius of the cone = 8 cm

Height of the cone = 12 cm

To be found :

Total Surface Area (T.S.A) of the cone

Here is the formula

πrl+πr²

In which r = radius of cone

And l = slant height of cone

Formula for finding slant height of cone -

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

So

l² = h² + r²

$\implies$ l² = (12)² + (8)²

$\implies$ l² = 144 + 64

$\implies$ l² = 208

$\implies$ l = 14.42 cm

Now

Total Surface Area of the cone

$= \pi \: rl + \pi \: r^{2} \\ \\ = \pi \: r(l + r) \\ \\ = \frac{22}{7} \times 8 \times (14.42 + 8) \\ \\ = \frac{22}{7} \times 8 \times (22.42) \\ \\ = 563.2$

Hence

TSA of cone is 563 cm² approximately.

Answer 2

Answer:

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