Question

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?

A) 61.25π cm3
B) 122.5π cm3
C) 245π cm3
D) 490π cm3

Answer 1

C) 245π cm3

Explanation:

V = π x r^2 x h

V = π(3.5)^2(10)= 122.5π cm^3

Answer 2

B) 122.5π cm3

Explanation:

Volume of a cylinder =
`\pi r^(2) h`

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

`\pi = constant`

Next, plug in the numbers into the formula;

`=\pi *3.5^(2) *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi`

Therefore, the volume of soup in the can is 122.5
`\pi cm^(3)`