Question

QuestionA sphere has a radius of 3.6 centimeters. Find its a. volume and b. surface area. Use 3.14 for A. Round the answers to thenearest hundredth.

Answer 1

Remember that the volume of the sphere is given by the following equation:

`V\text{ }=\text{ }(4)/(3)\pi r^3^{}`

In this case, we have that the volume of the sphere would be:

`V\text{ }=\text{ }(4)/(3)\pi r^3\text{ = }(4)/(3)\pi(3.6)^2\text{ = }(432)/(25)\pi\text{ }\approx\text{ 54.29}`

On the other hand, remember that the surface area for the sphere is given by the following equation:

`A\text{ = }4\pi\text{ }r^2`

In this case, we have that the surface area of the sphere would be:

`A\text{ = }4\pi\text{ }r^2\text{ = 4}\pi(3.6)^2\text{ = 162.86}\approx162.9\approx163`