Truncated cone

Calculate the height of the rotating truncated cone with volume V = 794 cm3 and a base radii r1 = 9.9 cm and r2 = 9.8 cm.

Correct result:

h =  2.6 cm

Solution:

r1=9.9 cm r2=9.8 cm V=794 cm3  V=13πh(r12+r1 r2+r22)  h=3⋅ Vπ⋅ (r12+r1⋅ r2+r22)=3⋅ 7943.1416⋅ (9.92+9.9⋅ 9.8+9.82)=2.6 cm

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Showing 5 comments:
#
Math student
can u explain why you do (r2 + rxR + R2) in the first step

1 year ago  3 Likes
#
Dr Math
Fine math problem! Go ahead!

#
Kukoslav
but to prove formula, you need to know how to solve integral

#
Kukoslav
need to solve a cubic equation, as obtained above, to find rises in heights... integral

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