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Mathematical pair
Formula calculation answer

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.