Answer:
D. 9
Step-by-step explanation:
Let
abc=100a+10b+c
bca=100b+10c+a
cab=100c+10a+b
abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)
=100a + 10b + c + 100b + 10c + a + 100c + 10a + b
Collect like terms
=100a + a + 10a + 10b + 100b + b + c + 10c + 100c
=111a + 111b + 111 c
Factorise
=111(a+b+c)
abc + bca + cab = 111(a+b+c)
Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)
abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)
abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)
abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)
abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
<h3>Volume of a cone</h3>
The volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
Therefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
learn more on volume here: brainly.com/question/20380818
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