Praveen P.
asked • 01/10/207 boys have bought a 1,5 liter soda. They want to split it evenly. Their glasses are cylinder shaped and have 6cm in diameter and 10,5cm in height. How much of each glass is filled?
I know the answer is 5 But I don’t know how to solve it.
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2 Answers By Expert Tutors
Aaron M. answered • 01/10/20
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Experienced math tutor
1,5 Liters is 1.500 mL. If you want to split it evenly, each glass will have 750 mL. 750=π(6/2)^2 x ?. Our height will be ?. Simplifying, 750=π(3)^2 x ?. 750=9π x ?. That comes across as over 20 cm which is certainly not 5 and would overflow the glass.
Peter K. answered • 01/10/20
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Certified Math Teacher with New York State Regents Teaching Experience
The 7 glasses hold pi*3^2*(10.5) cm^3 each. Their total volume is 7*296.8805 = 2078.164 cm^3.
The volume of the soda is 1.5 liters = 1500 cm^3.
The fraction of the glass volume that will be full is 1500/2078.164 or .722. That is NOT 5/7 but close.
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Praveen P.
Sorry, I was not clear. The boys had 1 glass each. I need the answer in fraction. My math book says the answer is 5/7. Five seventh part of each glass is filled.01/10/20