Question

what is the volume of this sphere? round to the nearest tenth. r = 3in v = 113.1 cm³ v = 39.6 cm³ v = 113.09 cm² v = 38.7 cm³

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute radius value

Given $r = 3$ inches, substitute into the formula: $V=\frac{4}{3}\pi(3)^{3}$.

Step3: Calculate the value

First, $(3)^{3}=27$. Then $\frac{4}{3}\times27 = 36$. So $V = 36\pi$. Using $\pi\approx3.14$, we get $V\approx36\times3.14 = 113.04$ $in^{3}$. Rounding to the nearest tenth, $V\approx113.0$ $in^{3}$. But note the units in the options are wrong in the problem (should be $in^{3}$ not $cm^{3}$ or $cm^{2}$). Among the given options with wrong - units considered, the closest value to our calculation is $V = 113.1$ $cm^{3}$ (ignoring unit - mismatch).

Answer:

A. $V = 113.1$ $cm^{3}$