Answer:
12 inches
Step-by-step explanation:
The vase can be modeled as a cylinder.
Volume of cylinder
[tex]\sf V= \pi r^2 h[/tex]
where:
- r is the radius
- h is the height
Given:
- V = 763 in³
- Diameter = 9 in
[tex]\sf Radius=\dfrac{1}{2} \times diameter=\dfrac{1}{2} \times 9=4.5\:in[/tex]
Substitute the given values into the formula and solve for h:
[tex]\begin{aligned}\sf V & = \sf \pi r^2 h\\\\\implies \sf 763 & = \sf \pi (4.5)^2 h\\\\\sf h & = \sf \dfrac{763}{\pi (4.5)^2}\\\\\sf h & = \sf 11.99360213...\end{aligned}[/tex]
Therefore, the height of the vase is 12 inches (to the nearest inch).
Learn more about cylinders here:
https://brainly.com/question/27865135
https://brainly.com/question/27951939
