Question

A sphere has a diameter of 22 units. What are its radius and volume?

A. 

The radius is 11 units, and the volume is 4,179.34 cubic units.

B. 

The radius is 44 units, and the volume 356,637 cubic units.

C. 

The radius is 44 units, and the volume is 267,477.76 cubic units.

D. 

The radius is 11 units, and the volume is 5,572.45 cubic units.

​

Answer 1

The answer Is d.

radius = 11

volume = 5,572.45

Answer 2

Answer: D.

The radius is 11 units, and the volume is 5,572.45 cubic units.

Explanation:

We know that the volume of a sphere is given by :-

`\text{Volume}=(4)/(3)\pi r^3`, where r is radius of the sphere.

Given : The diameter of the sphere = 22 units

Then the radius of the sphere =
`(22)/(2)=11\text{ units}`

Then , the volume of the sphere will be :-

`\text{Volume}=(4)/(3)(3.14)(11)^3\\\\\Rightarrow\ \text{Volume}=5572.45 \approx\text{ cubic units}`

Hence, the volume of the sphere = 5,572.45 cubic units