From plasticine

Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?

Correct answer:

h2 =  18.3346 cm

Step-by-step explanation:

a=12 cm b=8 cm h1=15 cm d=10 cm  r=d/2=10/2=5 cm  S1=a b=12 8=96 cm2  V1=13 S1 h1=13 96 15=480 cm3 V1=V2  V2=13 π r2 h2  h2=3 V1π r2=3 4803.1416 52=18.3346 cm

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