Your solution:

asked 2021-09-16

The expression \(\displaystyle{\frac{{{4}}}{{{3}}}}\pi{r}^{{{3}}}\) represents the volume of a sphere with radius r. Why is this expression a monomial? What is its degree?

asked 2021-09-24

A uniform sphere made of modeling clay has radius R and moment of inertia \(\displaystyle{I}_{{{1}}}\) for rotation about a diameter. It is flattened to a disk with the same radius R. In terms of \(\displaystyle{I}_{{{1}}}\), what is the moment of inertia of the disk for rotation about an axis that is at the center of the disk and perpendicular to its flat surface?

asked 2021-05-30

Find the volume V of the described solid S.

A cap of a sphere with radius r and height h.

V=?

A cap of a sphere with radius r and height h.

V=?

asked 2021-09-19

To find: the volume of the sphere to the nearest cubic meter.

Given: The surface area of the sphere is \(\displaystyle{S}={60}{m}^{{{2}}}\)

Given: The surface area of the sphere is \(\displaystyle{S}={60}{m}^{{{2}}}\)

asked 2021-09-14

a) Find the mass density of a proton, modeling it as a solid sphere of radius \(\displaystyle{1.00}\times{10}-{15}{m}.\)

b) What If ? Consider a classical model of an electron as a uniform solid sphere with the same density as the proton. Find its radius.

c) Imagine that this electron possesses spin angular momentum \(\displaystyle{l}{w}={\frac{{{h}}}{{{2}}}}\) because of classical rotation about the z axis. Determine the speed of a point on the equator of the electron.

d) State how this speed compares with the speed of light.

b) What If ? Consider a classical model of an electron as a uniform solid sphere with the same density as the proton. Find its radius.

c) Imagine that this electron possesses spin angular momentum \(\displaystyle{l}{w}={\frac{{{h}}}{{{2}}}}\) because of classical rotation about the z axis. Determine the speed of a point on the equator of the electron.

d) State how this speed compares with the speed of light.

asked 2021-05-03

Find the maximum volume of a rectangular box that is inscribed in a sphere of radius r.

asked 2021-05-28

Find the volume of the described solid. A cap of a sphere with radius and height h