Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.

About 1,356.48 Cubic Feet

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 12 * 3.14 * 6^2 = 1,356.48

Therefore the Volume is about 1,356.48 Cubic Feet.

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi   exact volume in terms of pi

V = 360*3.14

V = 1130.4 approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).