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Leah likes getting her hair done at Hair Forever because they offer free drinks in the waiting room. The cups for hot drinks are cylindrical with a height of 9 centimeters and a radius of 3.8 centimeters. What is the volume of each hot-drink cup?
Use ​≈3.14 and round your answer to the nearest whole number.
For cold drinks, there are cone-shaped paper cups. They have the same volume as the hot-drink cups and a radius of 5.1 centimeters. What is the height of each paper cup?
Use 3.14 and round your answer to the nearest whole number

Sagot :

Abidemiokinidn

The height of each paper cup to the nearest whole number is 15cm

The volume of a cylinder and cone

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

r is the radius

h is the height

Given that h = 9cm and r = 3.8cm

V = 3.14 * (3.8)² * 9
V = 408cm³

For the cone

V = 1/3πr²h

408 = 1/3 (3.14 * (5.1)² * h)
1224 = 81.6714h

h = 1224/81.6714
h= 15cm

Hence the height of each paper cup to the nearest whole number is 15cm

Learn more on volume of solid shapes here: https://brainly.com/question/1355179

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