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Soloha48 [4]
3 years ago
15

An 6 inch tall can of soda can hold 150π cubic cm. What is the radius of the top?

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}

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