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

Respuesta :

Answer:

B) 122.5π cm3

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^{2} h[/tex]

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

h= height, given as 10cm

[tex]\pi = constant[/tex]

Next, plug in the numbers into the formula;

[tex]=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi[/tex]

Therefore, the volume of soup in the can is 122.5[tex]\pi cm^{3}[/tex]

Answer:

C) 245π cm3

Step-by-step explanation:

V = π x r^2 x h

V = π(3.5)^2(10)= 122.5π cm^3