Sketch the solid described by the given inequalities. p ≤ 1, 3π4 ≤ ∮ ≤ π

Sketch the solid described by the given inequalities. 0 ≤ r ≤ 2, -π/2 ≤ θ ≤ π/2, 0 ≤ z ≤ 1

Sketch the solid described by the given inequalities. 1<=rho<=2, 0<=phi<=pi/3, 0<=theta<=pi

Pennies today are copper-covered zinc, but older pennies are 3.1 g of solid copper. What a re the total positive charge and total negative charge in a solid copper penny that is electrically neutral?

Find the volume of the given solid bounded by the planes $z = x, y = x, x + y = 2,$ and $z = 0$.

Describe the solid satisfying the condition: $x^2+y^2+z^2>4$

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer y = x + 1, y = 0, x = 0, x = 2; about the x-axis

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region. $F(x, y, z)=x^{4}+y^{2}+z^{2}$ over the solid sphere $x^{2}+y^{2}+z^{2} \leq 1.$

The solid Q is bounded by the cylinder $x^{2}+y^{2}=a^{2}$, the paraboloid $b^{2}-z=x^{2}+y^{2}$, and the xy-plane, where 0<a<b. Find the mass of the solid if its density is given by $\rho(x, y, z)=\sqrt{x^{2}+y^{2}}$.

What type of solid will each of the following substances form? Mg

How are the particles in a solid arranged differently from the particles in a liquid?

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer."

$x+2 y=2, x=0, y=0$; about the $x$-axis

The base of a solid is the region enclosed between the graphs of y = sin x and y = - sin x from x = 0 to x = π. Each cross section perpendicular to the x-axis is a semicircle with diameter connecting the two graphs. Find the volume of the solid.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer."

$y=\sec x, y=1, x=-1, x=1$; about the $x$-axis