Aglass vase is shaped like a cylinder and has a radius of 2.5 inches. the vase holds 170 cubic inches of water. how tall is the vase? use 3.14 for pi. round your answer to the nearest hundredth.

volume of a cylinder= πr²h
where r is radius and h is height.

here,
3.14 x 2.5²in x h = 170in²
3.14 x 6.25in x h = 170in²
19.625 x h = 170in²
h = 170in²/19.625
h = 8.66242038...in

corrected to the nearest hundredth, it is 8.66 inches