SOLUTION: Fig 1 shows a cone-shaped paper cup with water (its radius is 5 cm).However, the paper cup got a hole at its bottom, and after a period of time, the water inside reduced as in fig
Algebra.Com
Question 935787: Fig 1 shows a cone-shaped paper cup with water (its radius is 5 cm).However, the paper cup got a hole at its bottom, and after a period of time, the water inside reduced as in fig 2 (its radius is 3 cm).Find the ratio of the volumes of leakage and the remaining water.
This was the question, there are two figures in the question.
Please help me as I have an examination after 2 days and I am working very hard to get good marks.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Formula for volume of a cone: , h for height, r for radius.
Your example does not give any value for height, so keeping as just h for the entire conical cup.
Original volume filled,
After leakage, volume filled,
empty depth x;
Volume that leaked,
The ratio answer is the expression:
You can try to simplify this if you want.
common factor pi in numerator and denominator.
and then (3/3) factor to continue,
is NOT used as exponent; the rendering just makes it appear that way. is only used as a factor.
RELATED QUESTIONS
A cone-shaped paper cup is to hold 100 cubic cm of water. Find the height and the radius... (answered by ankor@dixie-net.com)
If all the ice melted in the cup, would it overflow?
A snowcone with a radius of 4 cm... (answered by josgarithmetic,MathTherapy,Alan3354)
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12... (answered by math_tutor2020)
A cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup... (answered by ikleyn)
A cone-shaped paper drinking cup is to hold 40cm^3 of water. Find the height and radius... (answered by ewatrrr,ikleyn)
At an office there is a cylindrical water cooler that has a radius of 15cm and a height... (answered by josgarithmetic)
A paper drinking cup is in the shape of a cone. The angle at the bottom of the cone is... (answered by Alan3354)
the volume of a paper cup, shaped like a circular cone, is 28pi cubic centimeters. The... (answered by Alan3354)
a cone shaped water cup has an altitude of 10 cm and a radius at the top of 4 cm. The cup (answered by ankor@dixie-net.com)