Answer:
[tex]\boxed {\boxed {\sf 75.36 \ inches^3}}[/tex]
Step-by-step explanation:
The volume of a cylinder is found using this formula:
[tex]v= \pi r^2h[/tex]
Th height is 6 inches, the radius is 2 inches, and we are using 3.14 for pi. Substitute the values into the formula.
[tex]v= (3.14)(2 \ in)^2(6 \ in)[/tex]
Solve the exponent.
- (2 in)²= 2 in * 2 in = 4 in²
[tex]v= (3.14)( 4 \ in^2)(6 \ in)[/tex]
Multiply the first two number.
[tex]v= 12.56 \ in^2 (6 \ in)[/tex]
[tex]v= 75.36 \ in^3[/tex]
This is already to the hundredth place, so we do not need to round.
The volume of the cylinder is 75.36 cubic inches.
