Use polar coordinates to find the volume of the given solid. Under the cone zVx2 + v? and above the disk x + y2 S 49 Step 1 We know that volume found by V= (r, 0) dA. Since we wish to find the volume beneath the cone z = Vx? + y?, then we must first convert this function to polar coordinates. We get z = ((r, 0) - We also know that in polar coordinates, dA =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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Use polar coordinates to find the volume of the given solid.
Under the cone z = Vx2 + v2 and above the disk x2 + y2 < 49
Step 1
We know that volume
found by V =
f(r, 0) dA. Since we wish to find the volume beneath the cone z = Vx? + y?, then we must first convert this function to polar coordinates. We get
z = f(r, 0) =
We also know that in polar coordinates, dA =
Transcribed Image Text:Use polar coordinates to find the volume of the given solid. Under the cone z = Vx2 + v2 and above the disk x2 + y2 < 49 Step 1 We know that volume found by V = f(r, 0) dA. Since we wish to find the volume beneath the cone z = Vx? + y?, then we must first convert this function to polar coordinates. We get z = f(r, 0) = We also know that in polar coordinates, dA =
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