Find the volume of the composite figure. Round your answer to the nearest hundredth

The volume of the figure is 590.71 mm³

Step-by-step explanation:

To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3.65mm

π = 3.14

r = radius = 3.2mm

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (3.2mm)²) * 3.65mm

v = (3.14 * 10.24mm²) * 3.65mm

v = 32.1536² * 3.65mm

v = 117.36mm³

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width  = 14.23mm

l = length  = 10.08mm

h = height  = 3.3mm

v = w * h * l

we replace the values that we know        

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

we add the volumes

v = 117.36mm³ + 473.347mm³

v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

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step-by-step explanation: