Mathematics, 05.05.2020 08:50, 7841784

Consider this sphere with a diameter of 5 m. A sphere with diameter 5 meters. What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answers: 1

Show answers

Answers

answered: jazzy76783

Step-by-step explanation:

We have a sphere with diameter 5 metres; let's convert this to centimetres by multiplying 5 by 100 because there are 100 cm in 1 m:

5 * 100 = 500 cm

Since the radius is half the diameter, that means the radius is d/2 = 500/2 = 250 cm, which means that A is wrong.

The volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius. Nowhere in this equation does "d" for diameter appear, which makes B wrong.

The definition of the radius of a sphere or circle is that it is the distance from the center to a point on the side of the circle/sphere. The diameter is twice of that, which means the radius is half the diameter, making C correct.

As mentioned above, the volume of a sphere is denoted by $V=\frac{4}{3} \pi r^3$ , which means D is incorrect.

Let's find the volume of a cylinder with the given dimensions: same radius (250 cm) and height (the diameter is equal to height, so height is the same as the radius: 250 cm).

The volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height. Plug the values in:

$V=\pi r^2h$

$V=\pi (250)^2*250=250^3*\pi$

The volume of the sphere is:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} \pi (250)^3=\frac{4}{3} *250^3*\pi$

We can see from comparing these two outcomes that the volume of the sphere is actually 4/3 the volume of the cylinder, so E is incorrect.

The answer is only C.

answered: jayliahj

The radius is half the diameter

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Step-by-step explanation:

Radius = 5/2

Volume of the sphere: (4/3)pi × r³

Volume of cylinder: pi × r² × 2r

= 2pi × r³

(4/3)pi × r³ = (2/3)(2pi × r³)

answered: Guest

$\frac{x}{23.50} = \frac{18\%}{100\%}$ than do 23.50 times 18 and then divide your answer by 100 than you will get x.

answered: Guest

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v