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find the radius of a cylindrincal can with a lid to contain 1000cm³ of water,using the minimum amount of.

User Honza
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Final answer:

The cylindrical can with a 1000 cm³ water capacity and the least quantity of metal has a radius of about 7.76 cm.

Step-by-step explanation:

To find the radius of a cylindrical can containing 1000 cm³ of water using the minimum amount of metal, we rearranged the formula for the volume of a cylinder and substituted the values to calculate the radius.

To find the radius of a cylindrical can to contain 1000 cm³ of water using the minimum amount of metal, we need to calculate the radius using the given volume of water.

Using the formula for the volume of a cylinder, V = πr²h, we can rearrange the formula to solve for the radius:

r = √(V / (πh))

Substituting in the values, we get:

r = √(1000 cm³ / (3.142 × 5.25 cm))

r ≈ √(60.0962) ≈ 7.76 cm

Therefore, the radius of the cylindrical can that contains 1000 cm³ of water using the minimum amount of metal is approximately 7.76 cm.

User Kiyanna
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