Top-open tank

The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m3, the radii of the bases are 4 m and 3 m. Find the depth of the tank.

Correct answer:

h =  12 m

Step-by-step explanation:

r1=4 m r2=3 m V=465 m3  V=13πh(r12+r1 r2+r22)  h=3 Vπ (r12+r1 r2+r22)=3 4653.1416 (42+4 3+32)=12 m

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