Explanation:
The volume of a cone is given by the formula (1/3)πr^2h, where r is the radius of the base and h is the height. So, the volume of the cone is:
V_cone = (1/3)π(2 ft)^2(3 ft)
V_cone = (4/3)π ft^3
The volume of a cylinder is given by the formula πr^2h, where r is the radius of the base and h is the height. So, the volume of the cylinder is:
V_cylinder = π(2 ft)^2(10 ft)
V_cylinder = 40π ft^3
To find the total volume, we add the volumes of the cone and cylinder:
V_total = V_cone + V_cylinder
V_total = (4/3)π + 40π
V_total = 133.2 ft^3
Rounding off the answer to the nearest tenth of a cubic foot, the total volume is approximately 133.2 ft^3.