Question

8.
An insect starts climbing a conical birthday hat of
radius 5 cm at base. It starts from point A and
reaches point B, taking spiral path on the hat. Find
out its displacement if height is 12 cm:-
B
е
T
12cm
-5 cm
А
ht
(1) 12 cm (2) 8 cm (3) 13 cm (4) 25 cm​

Answer 1

Answer:

Option 3 - 13 cm...

Explanation:

Given

h = 12 cm

r = 5 cm

By Pythagoras , (because it takes a spiral path)

l^2 = h^2 + r^2

l^2 = 144 + 25

l^2 = 169

l = 13 cm

Answer 2

Given,

The radius of the conical hat = 5 cm.

The height of the conical hat = 12 cm.

To Find,

The displacement of the insect.

Solution,

We know that displacement is the shortest path traveled by the body

Now,

In this case

The hypotenuse will the displacement of the insect

So,

Using Pythagoras theorem

Displacement = √(12²+5²)

                        =√169

                        = 13 cm

Hence, the displacement of the insect is 13 cm.