Bot Michelle wants to buy a container in the shape of a right cylinder for a science project. The container needs to have a volume of 95 cubic inches and a radius of 3 inches. What is the height, in inches, that the container must be? Round your answer to the nearest tenth of an inch.
The formula for the volume of a cylinder is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the volume V is given as 95 cubic inches and the radius r is given as 3 inches.
So we can rearrange the formula to solve for h:
95 = π(3^2)h
Simplifying further:
95 = π(9)h
Dividing both sides by π(9):
95 / π(9) = h
h ≈ 3.36
So the height of the container must be approximately 3.4 inches.