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Arlecino [84]
3 years ago
10

Celia filled the glasses shown below completely with water. The total amount of water that Celia poured into the glasses is 80 c

ubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
7 0
The height of glass 1 is 7.6
so, you find the volume of glass 2,= 26.376
then you subtract the answer from 80 cubic cm to get the volume of glass 1
                           80 - 26.376 = 53.694
then you work backwards to get the height, which is 7.6
WITCHER [35]3 years ago
5 0

Answer:

The height of glass 1 is 7.6 cm.

Step-by-step explanation:

We can see that glass 1 is a cylinder whose volume is given by :

V=\pi r^{2} h

its r = 3/2=1.5

h = ?

The second glass is a cone with h = 6.3 and r = 4/2=2

Volume is given as :

\pi r^{2} \frac{h}{3}

=>3.14\times2\times2\times\frac{6.3}{3}

V = 26.38 cubic cm

Given is :

The total amount of water that Celia poured into the glasses is 80 cubic centimeters.

This means she poured 80-26.38=53.62 cubic cm of water in cylindrical glass. Solving for 'h'

53.62=3.14\times1.5\times1.5\times h

7.065h=53.62

h = 7.6 cm

Therefore, the height of glass 1 is 7.6 cm.

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