Polar Equations Calculus
Find the area of the surface formed by revolving the curve \(r = 5 \sin\theta\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(x\)-axis.
Find the surface area generated when the curve \( r = e^{\theta}\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) is revolved about the \(y\)-axis.
Find the area of the surface formed by revolving the curve \(r = 5 \sin\theta\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(y\)-axis.
Find the area of the surface formed by revolving the curve \(r = 3 \cos(\theta)\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(x\)-axis.
Find the area of the surface formed by revolving the curve \(r = 5 \cos{\theta}\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(y\)-axis.