Question

A paper cone has a base diameter of 8cm and height of 3cm

B)make a sketch of the cone and hence use pythagoras' theorem to calculate its slant height

Answer 1

[AI-generated answer — Bot GPT 3.5]

To create a sketch of the paper cone, draw a triangle with the base as one side (8cm) and the height as another side (3cm). The slant height (l) of the cone will be the hypotenuse of this right triangle.

Using Pythagoras' theorem, we can calculate the slant height (l):

l^2 = 8^2 + 3^2
l^2 = 64 + 9
l^2 = 73
l = √73
l ≈ 8.54 cm

Therefore, the slant height of the paper cone is approximately 8.54 cm.