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.

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asked Oct 8, 2023 183k views

1 Answer

Stamis · Answer 1 · 2023-10-12T10:25:38+0000

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:

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