178.98 yd³
Step-by-step explanation:
The shape consists of a cone and a cylinder. So we would find the volume of each and sum them together.
Volume of a cone = 1/3 πr²h
r = radius = 3 yd
h = height = 4 yd
let π = 3.14
Volume of the cone = 1/3 × 3.14 × 3 × 3 × 4
Volume of the cone = 37.68 yd³
Volume of a cylinder = πr²h
r = radius = 3 yd
h = height = 5 yd
Volume of a cylinder = 3.14 × 3 × 3 × 5
Volume of a cylinder = 141.3 yd³
Volume of the shape = Volume of the cone + Volume of a cylinder
Volume of the shape = 37.68 + 141.3
Volume of the shape = 178.98 yd³