Question

Sofia found a wooden roller in the kitchen. It is in the shape of a cylinder and has a diameter of 6 cm and a height of 15 cm. She weighs the roller and finds that it is 264 grams. Which of the following correctly calculates the density of the roller?(1 point)
Responses

62 g/cm3

62 g per cm cubed

0.62 g/cm3

0.62 g per cm cubed

6.2 g/cm3

6.2 g per cm cubed

0.85 g/cm3

Answer 1

Density = mass / volume. Volume of a cylinder = πr^2h with r = 6/2 = 3 cm and h = 15 cm:
V = π(3^2)(15) = 135π ≈ 424.1 cm^3.
Density = 264 g / 424.1 cm^3 ≈ 0.6227 g/cm^3 ≈ 0.62 g/cm^3.

So the correct choice is 0.62 g per cm cubed.