find the volume of a cylinder with a diameter of 16mm and a height of 5.7. A.2,292mm^3 . . . 4,584mm^3(i think its this one) . . . 689mm^3 . . . . 1,146 (but i also got an answer close to this but the tens place was 5)

PLEASE HELP QUICKLY THANK YOU

B

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100% correct

3.14 * 8^2 * 5.7 = 1145.47

thank you!

To find the volume of a cylinder, you can use the formula: V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

Given that the diameter of the cylinder is 16 mm, we need to first find the radius. The radius is half the diameter, so divide 16 by 2:

Radius (r) = 16 mm / 2 = 8 mm

Now that we have the radius (r) and the height (h), we can substitute these values into the formula to calculate the volume (V):

V = π × (8 mm)^2 × 5.7 mm

V = 3.14159 × 64 mm^2 × 5.7 mm

V ≈ 3.14159 × 364.80 mm^3

V ≈ 1145.92 mm^3

Based on the calculations, the volume of the cylinder is approximately 1,145.92 mm^3, which is closest to the option you mentioned: 1,146 mm^3.