A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?

Responses

A 61.25π 61.25π cm 3

B 122.5π 122.5π cm 3

C 245π 245π cm 3

D 490π

1 answer

D 490π cm^3

To calculate the volume of the cylinder, you use the formula V = πr^2h, where r is the radius (half the diameter).

Given that the diameter is 7 cm, the radius is 3.5 cm. Plugging in the values, the volume would be V = π(3.5)^2(10) = 490π.

So, the correct answer is 490π cm^3.