Question

A cylinder-shaped soda can contains 330 cm³. Calculate the radius of the can knowing that its height is 15 cm.

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

Answer 1

To calculate the radius of the soda can, we can use the formula for the volume of a cylinder. The radius of the soda can is approximately 2.65 cm.

Step-by-step explanation:

To calculate the radius of the soda can, we can use the formula for the volume of a cylinder: V = πr²h. Given the volume of 330 cm³ and the height of 15 cm, we can rearrange the formula to solve for the radius:

330 cm³ = 3.142 × r² × 15 cm

r² = 330 cm³ / (3.142 × 15 cm)

r² &#approx; 7.0209

Now, we can take the square root of both sides to find the radius:

r &#approx; √(7.0209)

r &#approx; 2.65

Therefore, the radius of the soda can is approximately 2.65 cm, which is not one of the given answer options.