what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 8 in cubic…

Answer:

$1339.73$

Explanation:

Step1: Recall volume formula

$V = \frac{4}{3}\pi r^{3}$

Step2: Identify radius

$r = 6$ inches

Step3: Substitute values

$V=\frac{4}{3}\times3.14\times6^{3}$

Step4: Calculate power

$6^{3}=6\times6\times6 = 216$

Step5: Multiply

$V=\frac{4}{3}\times3.14\times216$ $V = 4\times3.14\times72$ $V = 12.56\times72$ $V = 904.32$ cubic - inches (if radius is 6 inches). But if radius $r = 6.9$ inches: $V=\frac{4}{3}\times3.14\times6.9^{3}$ $6.9^{3}=6.9\times6.9\times6.9 = 328.509$ $V=\frac{4}{3}\times3.14\times328.509$ $V = 4\times3.14\times109.503$ $V=1339.7292\approx1339.73$ cubic inches. Since the radius in the image seems to be close to 6.9 inches, the volume is approximately $1339.73$ cubic inches.