Answer:
79.25 mm³
Explanation:
The figure can be decomposed into 2 different half cylinders and a rectangular prism
Volume of the figure = volume of the smaller half cylinder + larger half cylinder + rectangular prism
✔️Volume of smaller half cylinder = ½(πr²h)
r = ½(2) = 1 mm
h = 5 mm
π = 3.14
Volume of smaller half cylinder = ½(3.14*1²*5)
= 7.85 mm³
✔️Volume of larger half cylinder = ½(πr²h)
r = ½(4) = 2 mm
h = 5 mm
π = 3.14
Volume of smaller half cylinder = ½(3.14*2²*5)
= 31.4 mm³
✔️Volume of rectangular prism = L*W*H
L = 5 mm
W = 4 mm
H = 2 mm
Volume = 5*4*2 = 40 mm³
✅Volume of the figure = 7.85 + 31.4 + 40
= 79.25 mm³