Question

question 1-15 a medicine ball is filled with sand and has a radius of 1.5 feet. sand weighs 3.5 pounds per cubic foot. what is the total weight? 7 pounds 14 pounds 49 pounds 51 pounds

Explanation:

Step1: Calculate volume of ball

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Given $r = 1.5$ feet, so $V=\frac{4}{3}\pi(1.5)^{3}=\frac{4}{3}\pi\times3.375 = 4.5\pi$ cubic - feet.

Step2: Calculate total weight

Since sand weighs 3.5 pounds per cubic - foot, the total weight $W$ is $W=3.5\times V$. Substitute $V = 4.5\pi$ into the formula: $W = 3.5\times4.5\pi=15.75\pi\approx15.75\times3.14 = 49.455\approx49$ pounds.

Answer:

49 pounds