Question

The radius of a sphere is 3 cm. What is the sphere's volume? A) 37.7 cm3 B) 105.9 cm3 C) 113.1 cm3 D) 254.3 cm3

Answer 1

Answer: Option C.

Explanation:

You need to use the formula for calculate the volume of a sphere:

`V_(sphere)=(4)/(3)\pi r^3`

Where the radius of the sphere is "r".

You know that the radius of this sphere is 3 centimeters.

Therefore, you need to substitute
`r=3cm` into the formula
`V_(sphere)=(4)/(3)\pi r^3` to find the volume of this sphere.

Then, the volume of the sphere is:

`V_(sphere)=(4)/(3)\pi (3cm)^3\\\\V_(sphere)=113.1cm^3`

Answer 2

C) 113.1 cm3

Explanation:

Radius of sphere is given to be 3 cm. So, r = 3 cm

The volume of a sphere can be calculated as:

`Volume =(4)/(3) \pi r^(3)`

Using the value of r in the above formula we get:

`Volume=(4)/(3) \pi (3)^(3)\\\\ Volume = (4)/(3) \pi * 27\\\\ Volume = 113.1`

Thus, the volume of the sphere with radius 3 cm is 113.1 cm cube.