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

Step ____

Step 2____

Step 3____

Find h by using the area of a triangle = (bh)/2

Find h by using the Pythagorean Theorem r ^ 2 + h ^ 2 = s ^ 2

Since h = 6 use the formula V = 1/3 * pi * r ^ 2 * h to find the volume

Since h = 12 , use the formula V = 1/3 * pi * r ^ 2 * h to find the volume

The volume is approximately 314.2c * m ^ 3

The volume is approximately 38.04c * m ^ 3

3 answers

Step 1: Calculate the slant height (l) using the Pythagorean theorem: l^2 = R^2 + h^2

Step 2: Substitute the given values for R (5 cm) and S (13 cm) into the formula and solve for h.

Step 3: Once you have found the height (h) of the cone, use the formula for the volume of a cone: V = 1/3 * π * R^2 * h

Step 4: Substitute the values of R (5 cm) and h into the volume formula and calculate the volume.

Step 5: Round the answer to the appropriate number of decimal places.
whats the answer
The volume of the cone is approximately 38.04 cm^3.
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