Step 1: Calculate the volume of the cone formula which is V = (1/3)πr^2h, where r is the radius and h is the height of the cone.
Step 2: Substitute the given values into the formula. r = 5 cm S = 13 cm, h = ?
Step 3: Use the Pythagorean theorem to find the height of the cone. h = sqrt(S^2 - r^2) = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12 cm.
Now, substitute the values into the formula V = (1/3)π(5^2)(12) = (1/3)π(25)(12) = (1/3)π(300) = 100π cm^3.
Therefore, the volume of the cone in the picture is 100π cm^3.
To find the volume of the cone in the picture where S = 13 cm and R = 5 cm: (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
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