Solution Found!
Volumes of solids Find the volume of the following solids
Chapter 12, Problem 16E(choose chapter or problem)
Volumes of solids Find the volume of the following solids using triple integrals.
The region in the first octant formed when the cylinder z = sin y for \(0 \leq y \leq \pi\) is sliced by the planes y = x and x = 0
Questions & Answers
QUESTION:
Volumes of solids Find the volume of the following solids using triple integrals.
The region in the first octant formed when the cylinder z = sin y for \(0 \leq y \leq \pi\) is sliced by the planes y = x and x = 0
ANSWER:
Step 1 of 2
In this problem we need to find the volume of the solid in the first octant formed when the cylinder z = sin(y) for is sliced by the planes y = x and x = 0.
Given : The region is z = sin(y) for is sliced by the planes y = x and x = 0.
Let us take z = sin(y) as the boundary above the solid.
Clearly , the region is : , since x = y
We know that volume(V) of the solid is :