# Please Socratic users help me with this final question?

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

2

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Jim G. Share
Feb 20, 2018

$423.9 \to D$

#### Explanation:

$\text{the volume (V) of a cone is calculated using }$

•color(white)(x)V=1/3pir^2h

$\text{where r is the radius of the base and h the height}$

$\text{we require to find r the radius}$

$\text{using the formula for the circumference (C) of a circle}$

•color(white)(x)C=2pir

$\Rightarrow 2 \times 3.14 \times r = 56.52$

$\Rightarrow 6.28 r = 56.52$

$\text{divide both sides by } 6.28$

$\frac{\cancel{6.28} r}{\cancel{6.28}} = \frac{56.52}{6.28} \Rightarrow r = 9$

$\Rightarrow V = \frac{3.14 \times 81 \times 5}{3} \approx 423.9 \to D$

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