Jbreezy said:Homework Statement
Find the volume obtained by rotating the regon boudned by the given curve about the specified axis
Homework Equations
The Attempt at a Solution
y = secx, y = cosx, 0 <= x < = pi/3
This is what I set up.
V = ∏∫ (secx +1 )^2 - (cosx +1)^2 dx
I said R was secx - (-1) and r is cosx -(-1)
Jbreezy said:Yeah I'm doing it about x = -1. Thanks dude. Sorry.
Jbreezy said:Yeah well that is because I made a mistake in my post and left out that is was about y = -1.
Volume is the measure of the amount of space an object occupies. It is usually measured in cubic units, such as cubic meters or cubic centimeters.
The formula for calculating volume varies depending on the shape of the object. For regular shapes like cubes or rectangular prisms, volume can be calculated by multiplying the length, width, and height. For irregular shapes, you can use techniques like displacement or water displacement to find the volume.
Volume and capacity are often used interchangeably, but they actually have different meanings. Volume refers to the amount of space an object occupies, while capacity refers to the maximum amount of a substance that an object can hold.
No, volume is always a positive quantity. If the object's shape allows for it, the volume may be zero, but it cannot be negative.
Volume and density are inversely related. As volume increases, density decreases and vice versa. This means that if you have two objects with the same mass, the one with the larger volume will have a lower density.