if a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in…

if a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the volume of the tank? assume 3.14 for pi.\na 28.3 m³\nb 37.7 m³\nc 56.5 m³\nd 84.8 m³

if a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the volume of the tank? assume 3.14 for pi.\na 28.3 m³\nb 37.7 m³\nc 56.5 m³\nd 84.8 m³

Answer

Explanation:

Step1: Find the radius

The diameter $d = 6$ meters, and the radius $r=\frac{d}{2}=\frac{6}{2}=3$ meters.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 3$ meters, $h = 3$ meters and $\pi=3.14$ into the formula. So $V=3.14\times3^{2}\times3$. First, calculate $3^{2}=9$. Then $V = 3.14\times9\times3=3.14\times27 = 84.78\approx84.8$ $m^{3}$.

Answer:

D. $84.8\ m^{3}$