To find the volume of the cone in the picture where S = 13 cm and R = 5 cm:

Question

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Step 3
Skip to navigation

page 3 of 3

Answer 1

Step 1: Calculate the height of the cone using the Pythagorean theorem:
h = √(S^2 - R^2)
h = √(13^2 - 5^2)
h = √(169 - 25)
h = √144
h = 12 cm

Step 2: Calculate the volume of the cone using the formula V = (1/3)πR^2h:
V = (1/3)π(5^2)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300)
V = 100π cm^3

Step 3: The volume of the cone is 100π cm^3.