Question

5 n ( n = 3.14) /12
4 in
what is the length of radius r to the nearest tenth of an inch?

Answer 1

To solve the problem, we need to analyze the expression you've provided, which seems to relate to the calculation of the radius from a volume or surface area formula involving a circle or a sphere.

You stated \( n = 3.14 \), which suggests that it refers to the value of π (pi).

The expression you provided is:

\[
5n \cdot \frac{n}{12}
\]

Let’s substitute \( n \) with 3.14:

\[
5 \cdot 3.14 \cdot \frac{3.14}{12}
\]

First, calculate \( 5 \cdot 3.14 \):

\[
5 \cdot 3.14 = 15.7
\]

Now we multiply this by \( \frac{3.14}{12} \):

\[
\frac{3.14}{12} \approx 0.26167
\]

Now multiply:

\[
15.7 \cdot 0.26167 \approx 4.10362
\]

Assuming this value relates to some area or volume measurement from which we can calculate the radius \( r \), if we assume this is related to the area of a circle, we can solve for the radius using the area formula \( A = \pi r^2 \).

Setting \( A = 4.10362 \), we have:

\[
4.10362 = \pi r^2
\]

Substituting \( \pi \) with 3.14:

\[
4.10362 = 3.14 r^2
\]

Next, isolate \( r^2 \):

\[
r^2 = \frac{4.10362}{3.14} \approx 1.308
\]

Now, take the square root to find \( r \):

\[
r \approx \sqrt{1.308} \approx 1.14
\]

Therefore, rounding to the nearest tenth, the radius \( r \) is approximately **1.1** inches.