Question

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

Answer 1

9514 1404 393

Answer:

3.14 cm ≈ 1.235 in

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