contestada

A designer of soup cans wants to redesign the cans by enlarging the area of the base to three times the original size. The new can should hold the same amount of soup. How should the designer change the height of the can?

Respuesta :

adioabiola

The designer should change the height of the can and maintain the same volume by doubling the area of the base of the can.

How to change the height of the can

Area of a cylinder, V= πr²h

Where:

  • r= base radius
  • h= height.

Area of the base, A= πr²

So,

volume of the cylinder;

V= A×h

For instance,

  • if volume of a cylinder is 50cm³ and area of the base is 10cm²

V= A*h

50 = 10 × h

50 = 10h

h = 50/10

h = 5cm

  • If the area of the base is doubled at a constant volume, that is A = 20cm², V = 50cm²

V= A×h

50 = 20 × h

50 = 20h

h = 50/20

h = 2.5 cm

Learn more about area of a cylinder:

https://brainly.com/question/76387

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas