10-centimeter-high 7638

A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference between the volumes of the cylinder and the cuboid

Correct answer:

d =  91.3274 cm3

Step-by-step explanation:

h=10 cm a=4 cm  V1=a2 h=42 10=160 cm3  u=a 2=4 2=4 2 cm5.6569 cm  D=u=5.6569=4 2 cm5.6569 cm r=D/2=5.6569/2=2 2 cm2.8284 cm  S2=π r2=3.1416 2.8284225.1327 cm2  V2=S2 h=25.1327 10251.3274 cm3  d=V2V1=251.3274160=91.3274 cm3

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