Question

Consider the ball that fits perfectly inside the cylinder. The volume of the ball is 3,052.08 cm3. What is the volume of the cylinder? Use 3.14 as pi, round your answer to the nearest centimeter, write only the answer in the blank.

Answer 1

we know that

[volume of a sphere]=(4/3)*pi*r³-------> r=∛[(3*Volume)/(4*pi)]
r=∛[(3*Volume)/(4*pi)]------> r=∛[(3*3052.08)/(4*pi)]----> r=∛729
r=9 cm

[volume of a cylinder]=pi*r²*h
r=9 cm
h=2*r----> 2*9 -----> 18cm
[volume of a cylinder]=pi*r²*h----->pi*9²*18---> 4578.12 cm³

the answer is
4578 cm³