Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
No, the two sets are not disjoint.
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.
100
10^5= 100,000
10^3= 1,000
100,000÷1,000= 100
45-40
The first interval is 15-19.
The width of this interval is: 19-15=4
The second interval is 30-34.
The width of this interval is: 34-30=4
The third interval is 40-45.
The width of this interval is: 45-40=5
The fourth interval is 45-49.
The width of this interval is: 49-45=4
