Question

A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base)

Answer 1

Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

r = 0.4 m

The height of an umbrella,

h = 0.45 m

As we know,

The lateral surface of an umbrella will be:

⇒  $\pi r\sqrt{r^2+h^2}$

On substituting the values, we get

⇒  $\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}$

⇒  $0.756596 \ m^2$

So that the amount of fabric needed will be "0.756596 m²".