Respuesta :

Answer:

32 m²

Step-by-step explanation:

V(cylinder) = Area(base)*height

288 = Area(base)*9

Area(base)= 288/9=32 m²

Answer: [tex]32\pi\ m^2[/tex]

Step-by-step explanation:

We know that the volume of cylinder is given by :-

[tex]\text{Volume}=\text{Area of base * height}[/tex]

Given: The volume of cylinder = [tex]288\pi\text{ cubic meters}[/tex]

Height of the cylinder= 9 meters

[tex]\Rightarrow\ 288\pi=\text{Area of base }\times9\\\\\Rightarrow\ \text{Area of base }=\dfrac{288\pi}{9}=32\pi[/tex]

Hence, the area of the base = [tex]32\pi\ m^2[/tex]