Two vases

Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and with the diameter of the upper base d2 = 15 cm. Which vase can hold more water if the height of both vases is 0.5 m?

Correct answer:

V1 =  5235.9878 cm3
V2 =  5104.1667 cm3

Step-by-step explanation:

d=20 cm d1=25 cm d2=15 cm  h=0.5 m cm=0.5 100  cm=50 cm  r=d/2=20/2=10 cm r1=d1/2=25/2=225=12.5 cm r2=d2/2=15/2=215=7.5 cm  V1=31 π r2 h=31 3.1416 102 50=5235.9878 cm3
S1=π r12=3.1416 12.52490.8739 cm2 S2=π r22=3.1416 7.52176.7146 cm2  V2=31 h (S1+S1 S2+S2)=31 50 (490.8739+490.8739 176.7146+176.7146)=6306255104.1667 cm3  V2<V1  Verifying Solution:   V2=31 h (r12+r1 r2+r22)=31 50 (12.52+12.5 7.5+7.52) cm3=630625 cm3=5104.1667 cm3

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: