Because the ones place is under 5, we round down, and 392 becomes 390 when rounded to the nearest 10
Answer:
The third choice, (160/3)π cm³
Step-by-step explanation:
The formula for volume of a cone is
V = (1/3)πr²h where r is the radius of the base, and h is the height
Here, r = 4 and h = 10. plug those values in and simplify...
V = (1/3)π(4²)(10)
V = (1/3)π(16)(10)
V = (1/3)π(160)
V = (160π)/3
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Rewrite as:

Apply law of indices


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Apply negative power rule of indices

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Evaluate like terms

Factor out x^2

Factor out -2


Divide by y

Split


Rationalize



Rationalize


Apply different of two squares to the denominator



Simplify


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Split

Evaluate all roots




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Factorize each

Factor out (r+3) in the numerator and (r + 6) in the denominator

Cancel out r - 2


Cancel out x

Expand the numerator of the 2nd fraction

Factorize

Factor out x - 7

Factor out 4 from 4x + 8

Cancel out x + 2



Factorize

Cancel out 3x


Take LCM

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Rewrite as:

Express as multiplication

Express y^2 - 9 as y^2 - 3^2

Express as difference of two squares



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