The hut has the shape of a cone with a base diameter of 4 m and a height of 3 m.

The hut has the shape of a cone with a base diameter of 4 m and a height of 3 m. What is the area of the land on which the hut stands? What is the volume of the hut?

The area of the plot of land on which the hut stands is equal to the area of a circle with a diameter d:

S = n * d² / 4;

S = n * 4² / 4 = 4n m³ ≈ 12.56 m².

The volume of the hut is equal to the volume of a cone with a base area S and a height h:

V = 1/3 * S * h;

V = 1/3 * 4p * 3 = 4p m³ ≈ 12.56 m³.