A cone-shaped shawl with a height of 3.5m and a base diameter of 4m is covered with canvas.

A cone-shaped shawl with a height of 3.5m and a base diameter of 4m is covered with canvas. How many square meters of sailcloth went to the tent?

To solve this problem, you first need to determine the radius of this tent.

Since the radius is 1/2 of the diameter, we get:

r = 1/2 * d = 1/2 * 4 = 4/2 = 2 m.

We find the length of the base of the tent.

For this we use the following formula:

L = √ (h2 + r2) = √ (3.52 + 22) = √12.25 + 4 = √16.25 = 4.0311 meters.

Determine the area of the canvas.

For this we use the following formula:

S = P * r * L, where P is a constant number equal to 3.14.

Will be:

S = 3.14 * 2 * 4.03 = 6.28 * 4.0311 = 25.31 m2

Answer: Canvas area 25.31 m2