answer: the answer is (b) amie should have multiplied
![54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.](/tex.php?f=54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.)
step-by-step explanation: given a sphere and a cylinder with same radius and height.
let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,
r = h.
now, the volume of the sphere will be
![v_s=\pi r^2h=\pi r^3,](/tex.php?f=v_s=\pi r^2h=\pi r^3,)
and the volume of the cylinder will be
![v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.](/tex.php?f=v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.)
therefore, we have
![v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.](/tex.php?f=v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.)
thus, ammie should have multiplied the volume of the sphere ![54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.](/tex.php?f=54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.)