Answer:
[tex]\blue{Volume = 198 \: in ^{3} }[/tex]
Step-by-step explanation:
The formula to find the volume of a cylinder is :
[tex] \pink{volume \: = \: \pi \: r ^{2} h}[/tex]
Here,
r = radius
h = height
They have already given the diameter of the cylinder as 6 in.
First, we have to solve for radius of the cylinder.
r = d / 2
r = 6 / 2
r = 3 in
And now let us solve for volume of the cylinder.
[tex]{volume \: = \: \pi \: r ^{2} h} \\ {volume \: = \: \pi \times \: 3^{2} \times 7} \\ {volume \: = \: \pi \times 9 \times 7} \\ {volume \: = \: \pi \times 63} \\volume = 197.92 \: {in}^{3} [/tex]
If we solve the answer for nearest cube :
[tex] \blue{Volume = 198 \: in ^{3} }[/tex]
