Question

slant height of frustum of cone is 8cm and base radius is 10 and 4 cm is​

Answer 1

Given, The slant height of frustum cone is 8 cm and the radii of frustum cone is 10 cm and 4 cm.

We know, the relationship between slant height, height and radius

i.e, l² = h² + r²

Let, h be the height of the frustum cone

Slant height is (l) = 8 cm

Radius is (R and r) = 10 cm and 4 cm

l² = h² + (R−r)²

=> (8)² = h² + (10 - 4)²

=> 64 = h² + (100 + 16 - 80)

=> h² = 64 - 36 = 28

=> h = $2 \sqrt{7} cm = 5.29cm$

Therefore, The Height of the frustum cone is 5.29 cm.

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Answer 2

Answer:

Given, The slant height of frustum cone is 8 cm and the radii of frustum cone is 10 cm and 4 cm. Therefore, The Height of the frustum cone is 5.29 cm

Step-by-step explanation:

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