Solve the problem.
-A cylindrical container has a volume of $$1936 \pi \mathrm { cm } ^ { 3 }$$ and a radius of 11 cm. Find the height of the container.
A) 16 cm
B) 11 cm
C) 22 cm
D) 4 cm

Question

Quizplus · Accepted Answer

The volume of a cylinder is given by $V = \pi r^2 h$, where $V$ is the volume, $r$ is the radius, and $h$ is the height. Given $V = 1936 \pi \mathrm { cm } ^ { 3 }$ and $r = 11 \mathrm { cm }$, we can solve for $h$ as follows: $1936 \pi = \pi (11)^2 h$. Simplifying, $1936 = 121h$, so $h = 16 \mathrm { cm }$.

Solve the Problem 1936πcm31936 \pi \mathrm { cm } ^ { 3 }1936πcm3

Solve the Problem $1936 \pi \mathrm { cm } ^ { 3 }$