Question

Find the volume of the figure below. Use 3.14 for π, and round your final answer to the nearest tenth.

Answer 1

Answer:

79.25 mm³

Step-by-step 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