1, bottom circumference = 2πr = 2 * 3 *π= 6π;;
Bottom area = π R2 = π * 9 = 9π;
Lateral area = 6π * 2 =12π;
Surface area =2* bottom area+lateral area = 2 * 9 π+12 π = 30 π;
Volume = bottom area * height = 9π * 2 =18π;
The volume of the cone = 1/3* the volume of the cylinder =6π.
2. The volume of the object = the volume of the cylinder+the volume of the cone.
Volume of cylinder = bottom area x height = π * (4/2) * (4/2) * 5 = 20 π;
Cone volume = 1\3* base area * height =1\ 3 * π * (4/2) * (4/2) * 3 = 4π;
Therefore, the volume of the object =24π.
3. The volume of the yurt = 6 * 6 * π * 2+1/3 * 6 * π *1= 84 π.