Question

Need help ASAP. 1) Determine the volume of the figure that has a radius of 2 feet. Round your answer to the nearest tenth of a cubic foot.​

Answer 1

We have two separate figures here, that have been combined to make one figure. We need to find the volumes of each figure separately, then add them together to find the total volume.

Formula for the volume of a circular cone: V = 1/3 x pi x r^2 x height

Formula for the volume of a cylinder: V = pi x r^2 x height

Solving for the volume of the circular cone:

V = 1/3 x pi x (2)^2 x 3

V = 1/3 x pi x 4 x 3

V = 1/3 x pi x 12

V = 4 x pi

V = 12.5663706144

Solving for the volume of the cylinder:

V = pi x (2)^2 x 10

V = pi x 4 x 10

V = pi x 40

V = 125.663706144

Adding the two volumes together and rounding:

125.663706144 + 12.5663706144 = 138.230076758

V = 138.2 ft^3

Hope this helps!! :)