Question

question 5 a globe company currently manufactures a globe that is 18 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. question 8

Explanation:

Step1: Find the new diameter

The original diameter is 18 inches. Reducing it by half gives a new diameter $d = 18\div2=9$ inches.

Step2: Find the new radius

The radius $r$ is half of the diameter. So $r=\frac{d}{2}=\frac{9}{2} = 4.5$ inches.

Step3: Use the volume - formula for a sphere

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 4.5$ inches and $\pi=3.14$ into the formula.
$V=\frac{4}{3}\times3.14\times(4.5)^{3}$
$V=\frac{4}{3}\times3.14\times91.125$
$V = 4\times3.14\times30.375$
$V=381.51$ cubic inches.

Answer:

$381.5$ in³ (rounded to the nearest tenth)