To find the volume of the cone in the picture where S = 13 cm and R = 5 cm:
(3 points)
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Step 1
Step 2
Step 3
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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.