Answer:
C
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: [tex]V=\frac{4}{3} \pi r^3[/tex], 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 [tex]V=\frac{4}{3} \pi r^3[/tex], 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: [tex]V=\pi r^2h[/tex], where r is the radius and h is the height. Plug the values in:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi (250)^2*250=250^3*\pi[/tex]
The volume of the sphere is:
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]V=\frac{4}{3} \pi (250)^3=\frac{4}{3} *250^3*\pi[/tex]
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.
