Question

question 4(multiple choice worth 1 points) (06.02 mc) a globe - company currently manufactures a globe that is 16 inches in diameter. if the dimensions of the globe were reduced by half, what would its volume be? use 3.14 for π and round your answer to the nearest tenth. o 622.7 in³ o 2143.6 in³ o 853.3 in³ o 267.9 in³

Explanation:

Step1: Find the new diameter

The original diameter is 16 inches. Reducing it by half gives a new diameter $d = 8$ inches, and the new radius $r=\frac{d}{2}=\frac{8}{2} = 4$ inches.

Step2: Use the volume - formula for a sphere

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 4$ inches and $\pi=3.14$ into the formula.
$V=\frac{4}{3}\times3.14\times4^{3}$
$V=\frac{4}{3}\times3.14\times64$
$V=\frac{4\times3.14\times64}{3}$
$V=\frac{803.84}{3}\approx267.9$ in³

Answer:

267.9 in³