Question

a frustum of a cone has height 8cm and radii of uper and lower circular surface are 22 cm and 16 cm respectively it's slant height is​

Answer 1

Answer:

10cm

Step-by-step explanation:

thus the slant height of the frustum is 10 cm

Answer 2

The slant height of frustum of a cone(l) = 10 cm

Step-by-step explanation:

Given,

The height of frustum of a cone(h) = 8 cm,

The upper radius of frustum of a cone(R) = 22 cm and

The lower radius of frustum of a cone(r) = 16 cm

To find, the slant height of frustum of a cone(l) = ?

We know that,

The slant height of frustum of a cone(l) = $\sqrt{h^2+(R-r)^2}$

= $\sqrt{8^2+(22-16)^2}$ cm

= $\sqrt{8^2+6^2}$ cm

= $\sqrt{64+36}$ cm

= $\sqrt{100}$ cm

= 10 cm

Thus, the slant height of frustum of a cone(l) is 10 cm.