What is the area of the base of a cylinder with a volume of 174? in.3 and a height of 12 inches? 1. Apply the formula for the volume of a cylinder: V = Bh 2. Substitute the known measures into the formula: 174? = B(12) 3. Apply the division property of equality: 174? 12 = B 12 12 The area of the base of the cyclinder is ? in.2.

Respuesta :

Answer:

The area of the base of the cylinder is [tex]14.5\ in^{2}[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=Bh[/tex]

where

B is the area of the base of cylinder

h is the height of the cylinder

In this problem we have

[tex]V=174\ in^{3}[/tex]

[tex]h=12\ in[/tex]

Substitute in the formula  and solve for B

[tex]174=B(12)[/tex]

Apply the division property of equality

[tex]B=174/(12)=14.5\ in^{2}[/tex]

Answer:14.5

Step-by-step explanation: just did it