To find the volume of the cone in the picture where S = 5 cm and R = 3 cm:
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Word Bank:
Since h = 6, use the V = (1/3)(pi)(r^2)(h) to find the volumeThe volume is approximately 38 cm^3Since h = 4, use the V = (1/3)(pi)(r^2)(h) to find the volumeThe volume is approximately 113.04 cm^3Find h by using the area of a triangle = (b x h)/2Find h by using the Pythagorean Theorem: r^2 + h^2 = s^2
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Blank 1: Find h by using the area of a triangle = (b x h)/2
Blank 2: Since h = 6, use the V = (1/3)(pi)(r^2)(h) to find the volume
Blank 3: Find h by using the Pythagorean Theorem: r^2 + h^2 = s^2
Of course the robot tutor messed it up again!
Usually S is the variable used to define the slant height of a cone, so ...
h^2 + 3^2 = 5^2 , where h is the actual height of the cone
h^2 = 16
h = 4, (you might have recognized the 3-4-5 right-angled triangle)
vol of cone = (1/3) π r^2 h
= (1/3)π(9)(4)
= 12π or appr 37.7 cm^3