Answer:
Volume of larger ball = 220,781.3 cubic centimeters
Step-by-step explanation:
Let's use ratios to solve for the diameter of the larger ball first (let the diameter of larger ball be L)
[tex]\frac{LargerBall}{SmallerBall}=\frac{15}{11}=\frac{L}{55}\\11*L=15*55\\11*L=825\\L=\frac{825}{11}=75[/tex]
So, the diameter of the larger ball is 75 cm. We know radius is half of diameter, so radius of larger ball is (1/2)(75) = 37.5 cm
Ball is in the shape of a sphere, which has a formula for volume as:
[tex]V=\frac{4}{3}\pi r^3[/tex]
where V is the volume and r is the radius
now we simply plug in 37.5 into r and use 3.14 as π:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(3.14)(37.5)^3\\V=220,781.3[/tex]
